The price of an item was increased by 20 percent

题目

The price of an item was increased by 20 percent. The new price of the item was decreased by x percent, resulting in a final price that is 28 percent less than the original price.

Quantity A

Quantity B

选项

The quantity in Column A is greater.

The quantity in Column B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

解析

设原价为 P 。价格上涨20%后，变为：P × (1 + 20/100) 再下降 x%，价格变为：P × (1 + 20/100) × (1 - x/100) 该价格比原价低28%，即等于：P × (1 - 28/100) 因此， P × (1 + 20/100) × (1 - x/100) = P × (1 - 28/100) 1 - x/100 = 0.72/1.2 = 0.6 x = 40 所以，答案为B。

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