SAT Math · Percentages · easy

After a 15% discount, a jacket costs $68. What was the original price of the jacket, before the discount?

After a 15% discount, a jacket costs $68. What was the original price of the jacket, before the discount?

Answer and explanation

Answer: A: $80

A 15% discount means the customer pays 85% of the original price. Let pp be the original price: 0.85p=680.85p = 68, so p=680.85=80p = \frac{68}{0.85} = 80. The original price was $80, choice A. Check: 15% of 80 is 12, and 80−12=6880 - 12 = 68. Choice B ($78.20) comes from adding 15% to the sale price (68×1.1568 \times 1.15), which wrongly treats 15% as a percent of the discounted price. Choice C ($83) results from adding 15 dollars straight to 68. Choice D ($78) comes from adding a rounded 10 dollars or approximating. The discount applies to the original price, not the sale price.

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