How to find the percent of decrease

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GRE Quantitative Reasoning › How to find the percent of decrease

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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 $\$200$ off. The customer ends up paying of the original price of the TV. What is the original price of the TV?

$\$800$

CORRECT

$\$700$

$\$750$

$\$1050$

$\$1000$

Explanation

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: