Questions on Algebra: Percentage and Pie Charts answered by real tutors!

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Question 1209852: Bonjour, j'ai vraiment besoin d'aide. S'il vous plaît je n'y arrive pas tout de seul. Vous êtes tous superbes d'aider les gens Bonjour, j'ai vraiment besoin d'aide. S'il vous plaît je n'y arrive pas tout de seul. Vous êtes tous superbes d'aider les gens en difficultés et je vous remercie à l'avance. Bonne fin de journée
Voici la question que j'ai googlé :
J'ai 100ml de DMSO pure à 99,9% et je dois le réduire à 70%
Comment de ml d'eau je dois ajouter pour arriver à 70% ?
Voici la réponse de Google :
0,99 tasse de DMSO et 0,01 tasse d'eau. Ajoutez 0,4143 tasse d'eau.
Je ne comprend pas et je sais pas comment le convertir en millilitre ?
Svp,aidé moi ☺️


Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

I will write the response in English since it's what I'm familiar with. Please use a translator to translate to French.
Je vais écrire la réponse en anglais puisque c'est ce que je connais. Veuillez utiliser un traducteur pour traduire en français.
(translated using Google Translate)

Question:
I have 100 ml of 99.9% pure DMSO and I need to reduce it to 70%
How many ml of water do I add to get to 70%?


--------------------------------------------------------------------------

x = amount of water, in mL, to add to the solution

You started with 100 mL of 99.9% pure DMSO
0.999*100 = 99.9 mL is pure DMSO while the remaining amount is water.

100+x = amount of solution you end up after adding the x mL of water
The amount of total solution will increase; while the amount of pure DMSO will not increase

(amount of pure DMSO)/(amount of solution) = percentage of DMSO in solution
99.9/(100+x) = 70%
99.9/(100+x) = 0.70
99.9 = 0.70(100+x)
99.9 = 70+0.70x
0.70x = 99.9-70
0.70x = 29.9
x = 29.9/0.70
x = 42.714285714286 approximately


Answer: You must add approximately 42.714 mL of water to the solution.
Round the approximate answer however your teacher instructs.


Question 1209823: The sales tax rate for the state of Washington was 8.1%.
What is the state sales tax on a $3,800 car in Washington?

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

8.1% = 8.1/100 = 0.081

8.1% of 3800 = 0.081*3800 = 307.80 dollars is the final answer.


Question 1177561: 1) At what Chicago local time is the chicago-frankfurt flight due to arrive in Frankfurt.
2)How long does the flight from Lisbon to Frankfurt take?
3) At what Shanghai local time is the Tokyo-frankfurt flight due to arrive in frankfurt?
HINT:
Leaving Departure Arrival City Time zone
Chicago 7:05pm* 2:45pm Chicago ST -6
Lisbon 7:35am 11.30am Frankfurt ST +1
Tokyo 12:30pm 8:45pm Shanghai ST +8

*Previous Day ST: Summer Time

Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
1) The Chicago-Frankfurt flight is due to arrive in Frankfurt at 11:30 am Frankfurt local time. Since Frankfurt is 7 hours ahead of Chicago, the arrival time in Chicago local time is 11:30 am - 7 hours = 4:30 am.
2) The Lisbon-Frankfurt flight departs at 7:35 am Lisbon local time and arrives at 11:30 am Frankfurt local time. Since Frankfurt is 1 hour ahead of Lisbon, the flight takes 11:30 am - 7:35 am - 1 hour = 3 hours.
3) The Tokyo-Frankfurt flight is due to arrive in Frankfurt at 11:30 am Frankfurt local time. Since Shanghai is 7 hours ahead of Frankfurt, the arrival time in Shanghai local time is 11:30 am + 7 hours = 6:30 pm.


Question 1179241: Solve for the following
1. A sales agent received 14% of his total sales. If total sales reached
P 23, 450.00, how much did the sales agent receives?
2. Marylou reads 90 pages of a book containing 600 pages.
What percent of the book did he read?
3. In a class of 50, 9 were born in the month of March,
What percent of the class was that number?
4. There is a total of 47 600 books in the public library. Of these books,
21% are Science books. How many Science books are in the
library?
5. Video City rented 80% of its stock of movies on Friday. If 400 movies
were rented on Friday, how many movies did video City have in
stock?

Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
Let's solve each problem step-by-step:
**1. Sales Agent's Commission:**
* **Total Sales:** P 23,450.00
* **Commission Rate:** 14% (0.14)
* **Commission Amount:** 23,450.00 * 0.14 = 3,283.00
* The sales agent received P 3,283.00.
**2. Percentage of Book Read:**
* **Pages Read:** 90
* **Total Pages:** 600
* **Percentage Read:** (90 / 600) * 100% = 15%
* Marylou read 15% of the book.
**3. Percentage of Class Born in March:**
* **Students Born in March:** 9
* **Total Students:** 50
* **Percentage:** (9 / 50) * 100% = 18%
* 18% of the class was born in March.
**4. Number of Science Books:**
* **Total Books:** 47,600
* **Percentage of Science Books:** 21% (0.21)
* **Number of Science Books:** 47,600 * 0.21 = 9,996
* There are 9,996 Science books in the library.
**5. Total Movies in Stock:**
* **Percentage Rented:** 80% (0.80)
* **Movies Rented:** 400
* **Total Movies:** 400 / 0.80 = 500
* Video City had 500 movies in stock.


Question 1209555: Victoria goes to a store and buys an item that costs xx dollars. She has a coupon for 40% off, and then a 5% tax is added to the discounted price. Write an expression in terms of xx that represents the total amount that Victoria paid at the register.
Found 4 solutions by greenestamps, timofer, math_tutor2020, ikleyn:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


It is a very bad practice in algebra to use "xx" as a "variable" to represent a number. "xx" in algebra means x times x.

So let's use just "x" to represent the original price.

(1) Get 40% off --> the price gets multiplied by (100-40) = 60%, or 0.6.

(2) 5% tax is added to the discounted price --> the discounted price gets multiplied by (100+5) = 105%, or 1.05.

The amount that Victoria paid:

(x)(0.6)(1.05) = 0.63x

ANSWER: 0.63x


Answer by timofer(104) About Me  (Show Source):
You can put this solution on YOUR website!
(1) Buy an item for x dollars
(2) Coupon 40% off
(3) Pay 5% tax on the remaining part paid

%28x-0.4x%29%2B%285%2F100%29%28x-0.4x%29
Do what you want with this to make the expression as you want it.

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

I'll assume that xx is a typo and it should be x.

x = cost of the item in dollars

The coupon saves her 40%, so she pays the remaining 60%
60% of x = 0.60x = amount she pays before tax is applied.

The 5% tax will bump the price up to 1.05*0.60x = 0.63x dollars.
The 1.05 can be thought of as 1+0.05 = 100% + 5% = 105%
Anything over 100% increases the price, which is why tax is associated with such a percentage.

Alternatively you can think of it like this: 0.60x+0.05*0.60x = 0.60x+0.03x = 0.63x
The 0.60x portion is what she pays before tax, and 0.05*0.60x = 0.03x is the tax itself.


Answer: 0.63x

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Victoria goes to a store and buys an item that costs xx dollars. She has a coupon for 40% off,
and then a 5% tax is added to the discounted price. Write an expression in terms of xx
that represents the total amount that Victoria paid at the register.
~~~~~~~~~~~~~~~~~~~~~~~~~~


    an expression in terms of xx 
    that represents the total amount 
    that Victoria paid at the register is   (1-0.4)xx + 0.05*(1-0.4)xx = 0.6xx + 0.05*0.6xx = 0.63xx.    ANSWER

Solved.

-------------------

Simple things should be done in simple way.

Then they become even simpler than they were before.

Otherwise, they will become more complicated than they were before,
which is not desirable.





Question 1209468: If Ellen bought a pair of boots for $24 off the original price of $120, what percent did she save

Found 2 solutions by CPhill, mccravyedwin:
Answer by CPhill(1959) About Me  (Show Source):
You can put this solution on YOUR website!
Find the percentage discount:
(Discount amount / Original price) * 100
(24 / 120) * 100 = 0.2 * 100 = 20%
Ellen saved 20% on the boots.

Answer by mccravyedwin(406) About Me  (Show Source):
You can put this solution on YOUR website!
$24 IS what percent OF $120?

Use the IS%2FOF principle.

The number closest to the word "IS" is the IS-number.
The number closest to the word "OF" is the OF-number

24%2F120=0.2=%2220%25%22

Edwin


Question 1209402: how much water to add to 4oz of 99.9 DMSO to make it 70 %
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
how much water to add to 4oz of 99.9% DMSO to make it 70 % ?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In this mixture, 99.9% of volume is pure DNSO.


So, the volume of the pure DMSO is 4*0.999 oz = 3.996 oz.


We want this volume, 3.996 oz, be 70%, or 0.7, of the new volume  V of the mixture.


So, we write  0.7*V = 3.996 oz.


It gives  V = 3.996%2F0.7 = 5.708571429 oz.


It means that the volume  5.708571429 - 4 = 1.708571429 oz of water should be added.


You may round it to  1.71 oz of water.    ANSWER

Solved.




Question 1197311: 1. In a game,using a fair die, a player bet #5 on a given number shows up, otherwise the #5 bet is won. What is the expected value of the game.
2. 5000 ticket is sold at #5 each for a raffle, ticket are to be drawn at random and price of #1000 each, 5 price of #200 each 20 price of #50 each. A man buy one of the raffle ticket. (a) what is the expected value for the man.
(b) calculate the probability that he win a price.

Answer by ElectricPavlov(122) About Me  (Show Source):
You can put this solution on YOUR website!
**1. Expected Value of the Die Game**
* **Probability of Winning:** 1/6 (since there's one desired number on a 6-sided die)
* **Probability of Losing:** 5/6
* **Payoff for Winning:** $0 (bet is lost)
* **Payoff for Losing:** -$5 (bet amount)
* **Expected Value:** (Probability of Winning * Payoff for Winning) + (Probability of Losing * Payoff for Losing)
= (1/6) * $0 + (5/6) * (-$5)
= -$4.17
**Therefore, the expected value of the die game is -$4.17.** This means, on average, you're expected to lose $4.17 per game.
**2. Raffle Ticket Analysis**
* **Total Tickets Sold:** 5000
* **Prizes:**
* 1 prize of $1000
* 5 prizes of $200
* 20 prizes of $50
* **Total Prizes:** 1 + 5 + 20 = 26
* **(a) Probability of Winning a Prize:**
* Number of Winning Tickets / Total Tickets
* = 26 / 5000
* = 0.0052
* = 0.52%
* **(b) Expected Value for the Man:**
* **Total Prize Money:**
* ($1000 * 1) + ($200 * 5) + ($50 * 20) = $1000 + $1000 + $1000 = $3000
* **Expected Winnings:**
* (Total Prize Money / Total Tickets) - Cost of Ticket
* = ($3000 / 5000) - $5
* = $0.60 - $5
* = -$4.40
**Therefore, the expected value for the man is -$4.40.** This means, on average, he can expect to lose $4.40 per raffle ticket.


Question 1209324: $41.85 purchase on 7% sales tax in Indiana
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The purchase costs the customer the price plus the sales tax.
41.85%2B0.07%2A41.85
44.78-----what the customer will pay

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is your question?


Question 1209261: How do you calculate the compliance rate per month? I have 19 employees who need to complete 17 annual courses.
What is the formula for the completion percentage per month? I have 19 employees who need to complete 17 annual courses.
What is the formula for compliance per month? I have 19 employees who need to complete 17 annual courses.
What is the formula for non-compliance per month? I have 19 employees who need to complete 17 annual courses.
What is the formula for completed courses per month? I have 19 employees who need to complete 17 annual courses.
What is the formula for non-completed courses per month? I have 19 employees who need to complete 17 annual courses.

Answer by textot(100) About Me  (Show Source):
You can put this solution on YOUR website!
**1. Compliance Rate per Month**
* **Concept:** This measures how well employees are keeping up with their required training on a monthly basis.
* **Formula:**
* (Number of courses completed in a month / Total number of courses required per month) * 100
**2. Completed Courses per Month**
* **Formula:**
* Total number of courses completed in a month / Number of months
* **Note:** Since you have 17 annual courses, you would divide this by 12 months to get the average number of courses required per month (approximately 1.42 courses per month).
**3. Non-Completed Courses per Month**
* **Formula:**
* (Total number of courses required per month) - (Number of courses completed in a month)
**4. Non-Compliance Rate per Month**
* **Formula:**
* (Number of non-completed courses per month / Total number of courses required per month) * 100
**Important Considerations:**
* **Tracking Method:** You'll need a system to track which courses each employee has completed each month. This could involve a training management system, spreadsheets, or other methods.
* **Monthly Adjustments:** The number of courses required per month might vary depending on the specific training requirements and how they are scheduled throughout the year.
* **Employee Tracking:** Ensure accurate tracking of course completions for each employee.
**Example:**
Let's say in a given month, 10 courses were completed by the 19 employees.
* **Completed Courses per Month:** 10 courses
* **Courses Required per Month:** (17 courses / 12 months) ≈ 1.42 courses
* **Non-Completed Courses per Month:** 1.42 courses/month - 10 courses = -8.58 courses (This would indicate more courses were completed than required in that month)
* **Compliance Rate:** (10 courses / 1.42 courses/month) * 100 ≈ 705.63% (This high percentage likely indicates an excess of courses completed in that month)
* **Non-Compliance Rate:** (-8.58 courses / 1.42 courses/month) * 100 ≈ -604.93% (This negative value indicates that more courses were completed than required)
**Note:** These calculations provide a basic framework. You'll need to adjust them based on your specific tracking methods and the actual number of courses completed each month.


Question 1209083: Our badminton team has finished $60\%$ of its season. So far, we have won $90\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses?
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Our badminton team has finished 60% of its season.
So far, we have won 90% of the games we played.
What percent of the remainder of our games must we win in order
to finish the season with the same number of wins as losses?
~~~~~~~~~~~~~~~~~~~~~~~~~

n = number of games in the entire season

Your team has played 0.6n games so far.
0.9*0.6n = 0.54n = number of games won.

At this point,  just  MORE  THAN  0.5n  games  just won
(which is more than one half of all games).

So, it is just  NOT  POSSIBLE  to get  0.5n,  even if all the rest  40%  of the remaining games are lost.


THE CONCLUSION.   The question in the post,  and,  hence, the entire problem in the post
                                    are provocative  highlight%28highlight%28nonsense%29%29.

The desired event can only happen if you rewind time back into the past
and lose several games that were won earlier.


=======================


Please do not send your anathema to me for pointing error/errors in your post,
as some other semi-idiots at this forum do, when I point to their errors in their posts.


Better,  post your  " THANKS "  to me,  as normal civilized people do
(as it is commonly accepted among civilized people).



Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

n = number of games in the entire season

Your team has played 0.6n games so far.
0.9*0.6n = 0.54n = number of games won.
n-0.54n = 0.46n = number of games lost.

There are n-0.6n = 0.4n games remaining.

Let x be a number between 0 and 1 such that it represents the decimal form of the percentage of games to win from here on out.
For example, if x = 0.2 then it means you need to win 20% of the remaining games.

x*0.4n = number of additional games to win

Add up the wins and set them equal to the number of losses.
0.54n + x*0.4n = 0.46n
0.54 + x*0.4 = 0.46
If you solved for x, you would get x = -0.2
Since it's not between 0 and 1, it appears your teacher has made a typo when setting up this problem.


Question 1208951: Percentage questions:

1). 225 is what percent of 300?

2). 144 is what percent of 360?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Percentage questions:

1) 225 is what percent of 300?

2) 144 is what percent of 360?
~~~~~~~~~~~~~~~~~~~~~~~~~~

(1)  To answer this question, form the fraction  225%2F300,  placing the base value of  300  in the denominator.

     Multiply the fraction by 100 to get the percentage, then calculate

         %28225%2F300%29%2A100 = %283%2F4%29%2A100 = 75%.    ANSWER



(2)  To answer this question, form the fraction  144%2F360,  placing the base value of  360  in the denominator.

     Multiply the fraction by 100 to get the percentage, then calculate

         %28144%2F360%29%2A100 = %282%2F5%29%2A100 = 40%.    ANSWER

Solved.

--------------------

To solve such problems without errors, you need to understand what is the base value;
then make the fraction, placing the base value into the denominator;
then multiply the fraction by 100 to get the percentage, and calculate.

On percentage problems,  see introductory lessons
    - Percentage problems
    - Percentage word problems (Type 1 problems, Finding the Part)
    - Percentage word problems (Type 2 problems, Finding the Rate)
    - Percentage word problems (Type 3 problems, Finding the Base)
in this site.

They are written specially for you.

Read them and become an expert in this area.

Start from the very first lesson of the list.

Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.




Question 872305: If 150 is increased by 175 percent, what is the resulting number? Plz help
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
If 150 is increased by 175 percent, what is the resulting number? Plz help
~~~~~~~~~~~~~~~~~~~~

The starting number is 150.


The increment is  1.75*150 = 262.5.


If 150 is increased by 175 percent, the resulting number will be

   the starting number + the increment = 150 + 262.5 = 412.5.    ANSWER

Solved.

The solution by the other tutor is incorrect.




Question 1208721: In a store window, there was a box of berries having a total weight of $200$ kg. The berries were $98\%$ water, by weight. After two days in the sun, the water content of the berries was only $90\%$, by weight. What was the total weight of the berries after two days, in kg?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
In a store window, there was a box of berries having a total weight of 200 kg.
The berries were 98% water, by weight. After two days in the sun, the water content of the berries was only 90%, by weight.
What was the total weight of the berries after two days, in kg?
~~~~~~~~~~~~~~~~~


        I will assume that the weight of the box itself is irrelevant
        and should not be considered.


Since the total weight of berries was initially 200 kg and 98% of the weight was water,
it means that the dry fiber was  200 - 0.98*200 = 200 - 196 = 4 kg.


After 2 days drying the berries in the sun, these 4 kg of dry fiber represent only 100% - 90% = 10% of the current total mass.


Hence, the current mass of the 90% wet berries after 2 days of drying in the sun is  4%2F0.1 = 4*10 = 40 kg.


ANSWER.   The current mass of the 90% wet berries after 2 days of drying in the sun is  40 kg.

Solved.

This problem is very SPECIAL, because at this point, after getting this unexpected answer,
a reader is expected to experience and to express the feeling of amazement, as if he or she sees some miracle.


----------------------


This time, when people measured weight in kilograms, was a thing of the past 60 years ago.

Now cultured and educated people say "4 kilograms of mass" instead of "4 kilograms of weight".




Question 1208153: 1). 75 is 60 % of _____________ .
2). 36% of 900 is _____________ .

3). 45 is 30% of ______________ .

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
1). 75 is 60 % of _____________ .
2). 36% of 900 is _____________ .
3). 45 is 30% of ______________ .
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


(1)  75 is 60% of x.  Find x.


     To find x, write an equation, saying that 60% of x is 75;  then solve this equation.

         0.6x = 75  

            x = 75/0.6 = 125.


     ANSWER.  75 is 60% of 125.

Solved.


      
(2)  36% 0f 900 is  0.36*900 = 324.

     ANSWER.  36% of 900 is 324.

Solved.


(3)  45 is 30% of x.  Find x.


     To find x, write an equation, saying that 30% of x is 45;  then solve this equation.

         0.3x = 45  

            x = 45/0.3 = 150.


     ANSWER.  45 is 30% of 150.

Solved.


Everything is solved.

Notice that problem (3) is of the same type as problem (1).
Therefore, I solved them word-in-word.
The logic and the calculations are the same.
Only the numbers are different.

------------------------

To learn better,  wider and deeper,  see the lessons
    - Percentage problems
    - Percentage word problems (Type 1 problems, Finding the Part)
    - Percentage word problems (Type 2 problems, Finding the Rate)
    - Percentage word problems (Type 3 problems, Finding the Base)
in this site.


They are written specially for you.

Read them and become an expert in this area.

Start from the very first lesson of the list.

Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.




Question 1207817: At 9-Innings Baseball, the original price of a baseball bat is $225.00 and it is on sale for 20% off. At All-American Baseball, the same bat is on sale for 18% off, which is a difference of $10.00 less than the sales price at 9-Innings. What is the original cost of the bat at All-American Baseball?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
At 9-Innings Baseball, the original price of a baseball bat is $225.00 and it is on sale for 20% off.
At All-American Baseball, the same bat is on sale for 18% off, which is highlight%28cross%28a%29%29 highlight%28cross%28difference%29%29 highlight%28cross%28of%29%29 $10.00 less
than the sales price at 9-Innings. What is the original cost of the bat at All-American Baseball?
~~~~~~~~~~~~~~~~~


        The original text is poor English.
        I fixed it in order for it makes sense.

        Pay attention !

                            Step by step



(1)  At 9-Innings Baseball, the sale price of a baseball bat is  (1-0.2)*225 = 0.8*225 = 180 dollars.


(2)  At All-American Baseball, the same bat is on sale for 180 - 10 = 170 dollars after the 18% discount.


(3)  Let x be the original cost of the bat at All-American Baseball.

     Then, according to the problem, we have this relation

          (1-0.18)x = 170  dollars.

     or

          0.82x = 170.


     From this equation,  x =  170%2F0.82 = 207.32  (rounded).


ANSWER.  The original cost of the bat at All-American Baseball is 207.32  dollars.

Solved.




Question 1206530: 50 of 83 students ate breakfast. What percent did not eat breakfast?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

50 of 83 students ate breakfast. What percent did not eat breakfast?
83-50= 33
33 out of 80 did not eat breakfast
(33/83 )*100 =39.76%
39.76% of the students did not eat breakfast.


Question 1084541: A shopkeeper sold a sofa set at 8 percent gain. Had he purchased it for 5 percent less and sold it for rs 36 less than what he actually sold it for,he would have gained 12.5 percent.For how much did the man purchase the sofa set?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
A shopkeeper sold a sofa set at 8 percent gain. Had he purchased it for 5 percent less and sold it for rs 36 less than what he actually sold it for,he would have gained 12.5 percent.For how much did the man purchase the sofa set?
Let the purchase price of Sofa be Rs.x
He sold it for 8% gain.
He sold it for 1,08x
Cost at 5% less = 0.95x
Sold it for Rs36 less ie:1.08x-36
profit = (1.08x-36)-0.95x
= 0.13x -36
(0.13x-36)/0.95x = 0.125
0.13x -36 = 0.95x*0.125
0.13x-36=0.11875x
0.13x-0.11875x=36
solve for x
0.01125x =36
x = 3200
Cost price of the sofa set was Rs 3200




SP= 3200*1.08 =3456
5%less = 0.95*3200 =3040 CP
SP less 36 3456-36 = 3420
3420-3040 = 380
(380/3040)*100 =12.5%










Question 1112125: If the compound interest for 2nd year is 250, find the compound interest for 3rd year, interest being 12% per annum.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
CI of the 2nd year = Rs. 250
CI of the 3rd year will be = CI of 2nd year+ 12% interest on CI of 2nd year

CI of 3rd year = 250 + 250 × 0.12 = Rs. 280


Question 1206076: 300 is 4 7/9% more than what number?
I tried but I keep getting it wrong.. please help :(

Found 4 solutions by mananth, MathLover1, ikleyn, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let number be x
300= 4 7/9 % x +x
300 = 43/9 %x +x
300= (0.43/9 )x +x
0.43/9 =0.0477x+x
300 = 1.048x
300/1.048
286.322 is the number.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

300 is 4%267%2F9% more than what number?
4+%267%2F9%=%2843%2F9%29%=%2843%2F9%29%2F100=43%2F900

%2843%2F900%29x=300
x=300%2F%2843%2F900%29
x+=+270000%2F43=> exact solution
or, approximately
x=6279

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
300 is 4 7/9% more than what number?
I tried but I keep getting it wrong.. please help :(
~~~~~~~~~~~~~~~~~~~


4 7/9% is  the same as  %28%284%2A9+%2B+7%29%2F9%29 percent = %2836%2B7%29%2F9 percent = 43%2F9 percent = %281%2F100%29%2A%2843%2F9%29 = 43%2F900.


So, they want you find an unknown number x such that

    x + %2843%2F900%29x = 300.


Thus you have this simple equation to find x.

First step to solve is to multiply all the terms by 900 to run of the denominators.
You will get then

    900x + 43x = 900*300

    943x = 270000

       x = 270000%2F943 = 286.3203  (rounded).


Thus you found this mysterious number x = 286.3203.


To check, multiply it by 43/900 and add this product to 289.3203

      286.3203+%2B+286.3203%2A%2843%2F900%29 = use your calculator = 300.   The check is done.


ANSWER.  The unknown number is found now: it is 286.3203 (rounded).

Solved, with explanations.


/////////////////////////


You have two other posts,  from  @josgarithmetic and from  @MathLover1.

They both are  FATALLY  INCORRECT,  so you better ignore they both for safety of your mind.


\\\\\\\\\\\\\\\\\\\\\\\\


The original "solution" from @josgarithmetic was gibberish (as, usually, half of his other posts are).

Then he waits until other solutions appear, disproving his results.

When he sees such solutions, he erases everything that he wrote before,
and re-write from other posts, re-telling them in his own words.

It is his standard "solution strategy" at this forum, which he uses just during several last months.


Really terrible "tutor", deserving to be removed from the forum.



Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n, what number

300=%28%284%267%2F9%29%2F%28100%29%29n%2Bn
300=n%28%284%267%2F9%29%2F100%29%29%2B1%29
300=n%28%2843%2F9%29%2F100%2B1%29
300=n%2843%2F900%2B1%29
270000=n%2843%2B900%29
n=270000%2F943
highlight%28n=286%26302%2F943%29


---

Originally I misread the problem description. Solution here is my own.


Question 1206019: An item is regularly priced at $61. Dante bought it on sale for 55% off the regular price. Use the ALEKS calculator to find how much Dante paid.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

To answer this question, use the formula

    Dante paid = 0.55*61 dollars.


To get the number, use the ALEKS calculator.

Happy calculations  ( ! )




Question 1205411: How did the tempruature change?
First it increased by 5%, and then it increased by 20%

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
How did the tempruature change?
First it increased by 5%, and then it increased by 20%
~~~~~~~~~~~~~~~~~~~~

Let T be the initial temperature.


Then after first increase the temperature becomes  T*(1+0.05) = 1.05T.


After the second increase, the temperature becomes 1.05T*(1+0.2)T = 1.05*1.2T = 1.26T.


The final increase is 26%, comparing to initial temperature.

Solved.

----------------------

If you want to see many other similar  (and different)  solved problems,  look into the lesson
    - Percentage problems on chains of discounts
in this site.




Question 1205283: You deposit $3042 in an account earning 3% interest compounded monthly. How much will you have in the account in 13 years? Give your answer accurate to 2 decimal places.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
You deposit $3042 in an account earning 3% interest compounded monthly.
How much will you have in the account in 13 years? Give your answer accurate to 2 decimal places.
~~~~~~~~~~~~~~~~~~~~~~~~

Use the formula for the future value of a compounded account 

    F = p * (1 + r) ^ n,

where 

    p is the principal amount
    r is the interest rate per time period
    n is the number of time periods.


In your problem:

    p = 3042
    r = 0.03/12
    n = 13*12 = 156


So, F = 3042+%2A+%281+%2B+0.03%2F12%29%5E156 = 4490.79  (rounded).


ANSWER.  In 13 years, it becomes  $4490.79.

Solved.

-----------------

To see many other similar  (and different)  solved problems on compounded interest accounts,  look into the lesson
    - Compounded interest percentage problems
in this site.

Learn the subject from there.




Question 1204979: Reuben is riding on a bike course that is miles long. So far, he has ridden miles of the course. What percentage of the course has Reuben ridden so far?
Found 3 solutions by josgarithmetic, ikleyn, math_tutor2020:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The values from the description are missing.

---------------------------------------------------------------------
Reuben is riding on a bike course that is D miles long. So far, he has ridden
A miles of the course. What percentage of the course has Reuben ridden so far?
---------------------------------------------------------------------

100%28A%2FD%29percent

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

If you will copy-paste from the screen, your posts will ALWAYS come DEFECTIVE to this forum.

To avoid it, print your posts manually from your source, using your keyboard.



Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

This problem is incomplete. The numbers are missing. Please revise carefully.


Question 1204919: An estimated
3 out of every
25 men are left-handed.
What percent of men are left-handed?

%

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
An estimated
3 out of every 25 men are left-handed.
What percent of men are left-handed?
(3/25)*100=12

12% of men are left-handed


Question 1204778: Your goal is to create a college fund for your child. Suppose you find a fund that offers an APR of 4%. How much should you deposit monthly to accumulate ​$82,000 in 18 ​years?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

FV=P%28%28%281%2Br%2Fn%29%5E%28nt%29-1%29%2F%28r%2Fn%29%29

FV=82000
r=4%=0.04
t=18+years
n=12 months

82000=P%28%28%281%2B0.04%2F12%29%5E%2812%2A18%29-1%29%2F%280.04%2F12%29%29
82000+=+P%28315.592%29
P=82000+%2F%28315.592%29
P=259.83
should you deposit $259.83 monthly


Question 1106543: at a school exhibition, a boy had a book stall. the cost of each book was rs 50. the selling price per book was rs 85, what was his profit percent if he sold 12 books?

Found 2 solutions by josgarithmetic, mananth:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
profit of rs 35 per book.

Twelve books?
35%2A12=420

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Whether you sell one book or 12 books the profit percentage will be the same
Selling price = 85
Cost price = 50
85-50 = 35
Profit percent = (profit/ cost price ) * 100
= 35/50 * 100 = 70
70 % is the profit percentage


Question 1096560: Meena kumari goes to a shop and buys a saree, costing ₹ 5225, including sales tax of 12%. The shopkeeper gives her discount, so that the price is decreased by an amount equivalent to sales tax. The price is decreased by ?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Meena kumari goes to a shop and buys a saree, costing ₹ 5225, including sales tax of 12%. The shopkeeper gives her discount, so that the price is decreased by an amount equivalent to sales tax. The price is decreased by ?

If Rs. 100 is the cost price the sales price will be Rs. 112
IfRs, 5225 is the sales price then cost price will be
(100/112) * 5225 = 4665.17
Discount = sales tax amount = 5225- 4665.17
5225-4665.17 = 559.83 which is the discount



Question 1203690: A pie chart was drawn to illustrate the data. Given that the angle for the sector representing donations was 204^o, calculate:
The total income for the year 2022. (3)

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Some information appears to be missing. Please double-check.


Question 1203640: The cost of two chairs and three tables for an office is $1800. After a month, the cost of each chair and each table increased by 20%. The office again bought 6 chairs and 2 tables at $4800. Calculate the new cost of a chair and a table.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
The cost of two chairs and three tables for an office is $1800.
After a month, the cost of each chair and each table increased by 20%.
The office again bought 6 chairs and 2 tables at $4800.
Calculate the new cost of a chair and a table.
~~~~~~~~~~~~~~~~~~~~~


It was solved at this forum one or two months ago. See my solution under this link

https://www.algebra.com/algebra/homework/percentage/percentage.faq.question.1203149.html


For your convenience, I copy-paste it from there to here again.


                     Solution



Let x be the cost of a chair previous month; y be the cost of a table previous month.

Then the purchase equation for the previous month is

    2x + 3y = 1800  dollars.    (1)


Next month the cost of a chair is 1.2x; the cost of a table is 1.2y.

Next month purchase equation is

    6*(1.2x) + 2*(1.2y) = 4800  dollars.    (2)


Transform equation (2) by dividing all its terms by 1.2. You will get

    6x + 2y = 4000.    (3)


Thus we have a system of two equations

    2x + 3y = 1800     (1')
    6x + 2y = 4000     (3')


To solve, multiply equation (1') by 3; keep equation (3') as is

    6x + 9y = 5400     (1'')
    6x + 2y = 4000     (3'')


From equation (1'') subtract equation (3'').  You will get

         9y - 2y = 5400 - 4000

            7y   =    1400

             y   =    1400/7 = 200.


Thus one table cost was 200 dollars previous month;  
so next month new price is 1.2*200 = 240 dollars per table. 


Now from equation (1),

    2x + 3*200 = 1800,  2x = 1800 - 3*200 = 1200,  x = 1200/2 = 600 dollars.


Thus one chair cost was 600 dollars previous month;
so next month new price is 1.2*600 = 720 dollars per chair.


ANSWER.  New prices are 240 dollars per table and 720 dollars per chair.

Solved.




Question 1203506: A bag is filled with green and blue marbles. There are 117 in the bag if there are 17 more green marbles than blue marbles, find the number of Green marbles, and the number blue marbles in the bag.
The number of blue marbles is :
The number of green marbles is:

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


A quick mental solution....

Take away the "extra" 17 green marbles.
That leaves 117-17 = 100 marbles in the bag, with equal numbers of blue and green.
So there are 100/2 = 50 of each left in the bag.
Now put the 17 green ones back, giving the answer as 50 blue and 50+17 = 67 green.

--------------------------------------------------------------

Or, if formal algebra is required....

Let x = # of blue marbles
Then x+17 = # of green marbles

The total number is 117:

x+(x+17) = 117
2x+17 = 117
2x = 100
x = 50

ANSWER: x=50 blue marbles and x+17=67 green marbles


Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Half of the sum,        i.e. %28117%2B17%29%2F2 = 134%2F2 = 67 are green marbles.


Half of the difference, i.e. %28117-17%29%2F2 = 100%2F2 = 50 are blue marbles.

Solved, in quick way.




Question 1203451: Tracey paid $125 for an item that was originally priced at $570. What percent of the original price did Tracey pay?
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Divide what she paid by the original price to find the fraction of the original price that she paid; get the answer as a decimal.

Multiply that by 100 (move the decimal point two places to the left) to convert the answer to a percent.

You can do the calculations yourself; our purpose is to help you learn HOW to work the problem.



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