题目

At a warehouse, an order was shipped out, reducing the number of parts in inventory by half. Then a shipment of parts was received, increasing the current number of parts in inventory by 50%.


Quantity A

The number of parts in inventory before the two shipments

Quantity B

The number of parts in inventory after the two shipments

选项

A.

The quantity in Column A is greater.  


B.

The quantity in Column B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.

解析

库存零件数量先减少50%,再增加50%。 若库存初始零件数量为\( x \),两次变动后的数量为: \( x \times 0.50 \times 1.5 = 0.75x \) 变动后的零件数量为初始数量的75%,即数量减少。因此A项数值更大。 也可选取便于计算的数值验证:若\( x=100 \),库存先减少至50,再从50增加至75。此时A项为100,B项为75。 此外,也可通过逻辑分析解题:第一次减少50%,是以初始数量为基数计算;而后续的增加50%,则是以减少后的、更小的数量为基数计算。 因此,增加的量必然小于减少的量,最终结果小于初始值。
在线客服
官方微信
公众号