SOLUTION: A department store is having a special sale for 4 hours on Saturday morning. Each customer will recieve an additional 10% off any sale item. If a pair of $59.95 shoes was origianll

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Question 991524: A department store is having a special sale for 4 hours on Saturday morning. Each customer will recieve an additional 10% off any sale item. If a pair of $59.95 shoes was origianlly on sale for 25% off, how much would the shoes cost during the 4-hour sale? Describe how you found your answer. Can you please help me out with this one? I'm not very good at math but heres what I tried.
25 + 10 = 35. shoes would be 35% off.
turn 59.95 to a whole number. 5995. 1995 = n
and that's where I got stuck... Can you please helpe
Found 2 solutions by macston, MathTherapy:
Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
During the sale you pay 25% less (100%-25%=75%)
You pay 75% of the original price.
Then you get 10% off, you pay 90% of 75%;
(0.75)(0.90)=0.675 or 67.5% of the original price.
Note that 67.5% is the percent of the original we pay,
not the percent discount.
.
For example, on a $100 item, the 25% discount price
means we pay 75% of the original:
(0.75)($100)=$75
And an additional 10% of $75:
(0.10)($75)=$7.50
would be another $7.50 off:
$75-$7.50=$67.50
This is equivalent to the 67.5% we found above.
But this equals:
100%-67.5%=32.5%
Which means the discount from original is 32.5%, not 35%.
This is because the additional 10% discount is taken
from the reduced price, and not 10% of the original price.
.
For the shoes:
($59.95)(0.675)=$40.47
The 4 hour sale price would be $40.47.
.
Or: 25% off $59.95
(0.25)($59.95)=$14.99 , which means $14.99 off:
$59.95-$14.99=$44.96
And an additional 10% from $44.96:
(0.10)($44.96)=$4.50, so $4.50 more off:
$45.00-$4.50=$40.50
The difference comes from errors introduced in rounding.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

A department store is having a special sale for 4 hours on Saturday morning. Each customer will recieve an additional 10% off any sale item. If a pair of $59.95 shoes was origianlly on sale for 25% off, how much would the shoes cost during the 4-hour sale? Describe how you found your answer. Can you please help me out with this one? I'm not very good at math but heres what I tried.
25 + 10 = 35. shoes would be 35% off.
turn 59.95 to a whole number. 5995. 1995 = n
and that's where I got stuck... Can you please helpe
You cannot add the discounts as you did

Let the original cost be C

A discount of 25% (.25), at first, means that the item would be sold for 75% of its original cost, or 75% of C or .75C (C - .25C)

Now, with a second discount of 10% or .1, the price after the 2nd discount would be: 90% of .75C, or .9(.75C), or .675C

Now, since the original cost was $59.95, then the sale price, after both discounts is: , or $40.46625, which rounds off to: 



You could've also calculated: 

1) 25% of $59.95 to get the 1st discount

2) Subtract the 1st discount from the original price (59.95) to get the cost after  

   the 1st discount

3) 10% of the discounted price after the 1st discount 

4) Subtract the 2nd discount amount from the 1st discounted price to get the cost after  

   the 2nd discount. You will now have the final sale price.



That's a bit tedious than the first method so you should try learning the 1st method if you want

to take less time to do problems like these in the future. 

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