Question

A purchase is made under the following conditions. There is a 25% discount due to a sale, another 10% discount because of the size of the purchase, and a 3% discount for paying cash. These discounts are successive. That is, they are taken one after the other. The customer paid $195.89. What was the original purchase price before any discounts were considered?

Answer 1

so for this problem u would the opposite of the normal way

Answer 2

so what is the process?

Answer 3

195.89-(195.89x.10)

Answer 4

so after that u put out your answer_______-(_____x.03

Answer 5

what about the 25%

Answer 6

you would do the same

Answer 7

______-(____x.25)

Answer 8

so would you do the 25 percent before the 10% or after the 3% ??

Answer 9

:D

Answer 10

it really doesnt matter thought i would do it the way the problem is in order

Answer 11

ok so after putting in the answers and getting the final one, is that the original price?

Answer 12

so i would have done 25,10,3

Answer 13

yes ur CORRect :D!!!!!!!

Answer 14

an medal would be appreciated

Answer 15

ok thank you so much!

Answer 16

?=195.89*1.25*1.1*1.03=277.42921

Answer 17

Here's one way of solving this.
Let's say you start with a $100 item and you do the three discounts in series:
$100 item minus 25% discount = 75% x $100 = $75.00
$75 item minus 10% discount = 90% x $75 = $67.50
$67.50 item minus 3% discount = 97% x $67.50 = $65.475
This means that a $100 item ends up costing $65.475, or 65.475% of its original price.
Now we know that an item that undergoes these three discounts in series ends up costing 65.475% of the original price.
This means that $195.89 is 65.475% of the original price.
So the quesion now is $195.89 is 65.475% of what?
Use a proportion:
$195.89 : 65.475% = x : 100%
x = 100% x $195.89 / 65.475%
x = $299.18
The original price was $299.18