During a sale, the original price of a garment is lowered by 20%. Because the garment did not sell, its sale price...

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Princeton Review

During a sale, the original price of a garment is lowered by 20%. Because the garment did not sell, its price was reduced by 10%. The final price of the garment could have been obtained with a single discount by x% from the original price, where x=

A. 25
B. 26
C. 27.5
D. 28
E. 30

OA D

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In questions dealing with percentages, it is helpful to start with 100 as the initial number

Let us assume original price was 100
During sale it's lowered by 20% -> so price becomes -> 80
Now, it was further reduced by 10%. This 10% is of the current price, and not original price.
So new price -> 80 - (10% of 80) = 72
Now the question asks, what percent of discount could have been applied on the original price (100) to get directly to the latest price (72)
Answer is easy -> 100 -72 = 28