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Answer to Question #10368 in Other Math for shelley rivera

Question #10368
if 10% sale and an additional sale of 15% of sale price, what was the the original price if i paid $306.
Expert's answer
if 10% sale and an additional sale of 15% of sale price, what was the the original price if i paid $306.

Let x be the original cost. Then

0.90x

is the amount the student pays (100%-10% = 90%) and

0.85·0.90x

is the sales price (100%-15%=85%). If the sales price = 306, then

0.85·0.90x = 306
0.765x=306
x=$400

So, the original cost was $400.
This makes sense because $40 was taken off for the student discount, bringing the sales price to $360 and an additional 15% of 360 = $54, so $360-$54 = $306.

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