ExplanationThe number of parts in inventory first decreased by 50%, then increased by 50%.

If the initial number of parts in inventory was x, the number after both shipments was x(0.50)(1.5) = 0.75x.

The number of parts after the shipments was 75% of the number before, which is fewer. Quantity A is greater.

Alternatively, choose a smart number to test. If x = 100, then the inventory first decreased to 50, and then increased from 50 to 75. Quantity A is 100 and Quantity B is 75.

Finally, it is possible to solve this question using logic. The 50% decrease is taken as a percent of the original number. The 50% increase, however, is taken as a percent of the new, smaller number.

The increase, therefore, must be smaller than the decrease, making the final value smaller than the original.

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