How to find the percent of decrease - GRE Quantitative Reasoning

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Question

A new TV at some store goes on sale for off the retail price. A customer comes in to buy the TV, and in addition to the store discount of , uses a coupon for an extra off. The customer ends up paying of the original price of the TV. What is the original price of the TV?

Answer

Let represent the original price of the TV. Now, set up an equation where the discounted price of the TV (10% discount) minus 200 dollars is equal to 65% of the original price of the TV:

Solve for

The original price of the TV is .

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