|
Question 601848: 1. a department has an annual budget of P6 billion which is divided among its 3 bureaus in the ratio of 5:3:2. how much does the bureau with the largest budget receive?
2. the selling price of a sala set and a dining set is P42,000. if the selling price of the sala set is P4,000 more than the cost of dining set. how much is the sala set?
3. mr. villar owns 4/10 of a company. if he sold 3/6 of his share to a co-stockholder. how much of the company does mr. villar still owned?
4. the sum of denia's and terry's savings is P320,000. if denia owns P190,000. how much more does she has than terry?
5. bella receives a monthly pension of P19,000 every 5th day of the month. she regularly saves 1/4 of this in the bank and spends the remeinder for her daily needs budget of P475.00 on what date of the month she will have P4,750.00 left?
please show me the solution regarding this problem... thanks for helping...
Answer by w_parminder(53)   (Show Source):
You can put this solution on YOUR website! Problem 1:: A department has an annual budget of P6 billion which is divided among its 3 bureaus in the ratio of 5:3:2. how much does the bureau with the largest budget receive?
Solution 1::
Ratio of the division of budget is 5:3:2
So let the share of each bureau is 5x,3x & 2x
Also 5x + 3x + 2x = 6 billion
i.e. 10x = 6 billion
i.e. x = 6/10
Share of the bureau with the largest budget is 5x
So its share = 5*6/10
=3 billion
Problem 2:: The selling price of a sala set and a dining set is P42,000. if the selling price of the sala set is P4,000 more than the cost of dining set. how much is the sala set?
Solution 2::
Let the selling price of dining set = X
SO the selling price of sala set = X + 4000
Also their total selling price is 42000
So X + (X + 4000) = 42000
2X + 4000 = 42000
2X = 42000 - 4000
2X = 38000
X = 38000/2
X = 19000
So selling price of sala set = 19000 + 4000
= 23000
Problem 3:: Mr. Villar owns 4/10 of a company. if he sold 3/6 of his share to a co-stockholder. How much of the company does Mr. villar still owned?
Solution::
Let total value of the company = X
Original share of the company Mr. Villar is having is 4/10 of X, i.e. 4X/10
Share sold by Mr. Villar = 3/6 of 4X/10 i.e 12X/60 OR X/5
Share left with Mr. Villar = 4X/10 - X/5
=
=
=
So Mr. Villar still owned 1/5 of the company.
Problem 4:: The sum of Denia's and terry's savings is P320,000. if denia owns P190,000. how much more does she has than terry?
Solution::
Savings of Denia(D) + Savings of Terry(T) = 320000
190000 + T = 320000
So T = 320000 - 190000
T = 130000
So Denia has (190000 - 130000), i,e, 60000 more than Terry.
Problem 5:: Bella receives a monthly pension of P19,000 every 5th day of the month. she regularly saves 1/4 of this in the bank and spends the remaining for her daily needs budget of P475.00 on what date of the month she will have P4,750.00 left?
Solution::
Savings of Bella = 1/4 of 19000 i.e. 4750
Remaining money for her expenditure = 19000 - 4750 = 14250
She withdraws P475 daily from the bank for her daily budget, So money left in her account on 5th day of the month = (4750) + (14250 - 475)
= (4750) + (13775)
Using the formula to find the last term of an 'Arithmetic Progression' whose first term is 13775, last term is 'Zero' and common difference is (-475), we can find the number of terms in it.
i.e. Last term = First term + (n - 1)*common-difference
=> 0 = 13775 + (n - 1)*(-475)
=> 0 = 13775 - 475n + 475
=> 475n = 14250
=> n = 14250/475
=> n = 30
So after 30 days, she will have P4750 in her account. This day definitely comes in the next month and the date depends on the number of days in current month.
I hope the solutions are helpful to you, Please reply @ vickywalias@gmail.com
|
|
|
| |
