Question the-re

3.2 Percentages - Discounts, markups, tax, tips
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The regular price of a shirt at a store is $11.70 . The sale price of the shirt is 80 % less than the regular price, and the sale price is 30 % greater than the store's cost for the shirt. What was the store’s cost, in dollars, for the shirt? (Disregard the $ sign when entering your answer. For example, if your answer is $4.97 , enter 4.97 )

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The regular price of a shirt at a store is $ 11.70 . The sale price

Hard-difficulty · SAT Math · Percentages — Discounts, markups, tax, tips. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 1.8 . It’s given that the regular price of a shirt at a store is $11.70, and the sale price of the shirt is 80% less than the regular price. It follows that the sale price of the shirt is $11.701-80100, or $11.701-0.8, which is equivalent to $2.34. It’s also given that the sale price of the shirt is 30% greater than the store’s cost for the shirt. Let x represent the store’s cost for the shirt. It follows that 2.34=1+30100x, or 2.34=1.3x. Dividing both sides of this equation by 1.3 yields x=1.80. Therefore, the store’s cost, in dollars, for the shirt is 1.80. Note that 1.8 and 9/5 are examples of ways to enter a correct answer.