SOLUTION: if a customer buys a $306.88 item (this is the sale price) which was originally marked down 15% and then marked down again 10%, how do i find the original price? i have tried numer

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: if a customer buys a $306.88 item (this is the sale price) which was originally marked down 15% and then marked down again 10%, how do i find the original price? i have tried numer      Log On


   



Question 620870: if a customer buys a $306.88 item (this is the sale price) which was originally marked down 15% and then marked down again 10%, how do i find the original price? i have tried numerous ways and the numbers just dont match up.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if a customer buys a $306.88 item (this is the sale price) which was originally marked down 15% and then marked down again 10%, how do i find the original price? i have tried numerous ways and the numbers just don't match up.
:
A 15% mark down means the item cost .85 * original cost
A 10% mark down means the item cost .90 * that cost
:
Let x = original cost
:
.90(.85x) = 306.88
.765x = 306.88
x = 306.88/.765
x = $401.15 was the original cost