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。