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Question

Difficulty: MediumCalculating Percentages of Quantities

A military supply warehouse receives a shipment of 4,5004,500 replacement parts. During initial processing, 4%4\% of the parts are flagged for immediate deployment to forward operating bases. From the remaining parts, 25%25\% are placed in long-term storage, and the rest are distributed to active maintenance bays. How many replacement parts are distributed to the active maintenance bays?

  1. A
    2,025
  2. 3,240Answer
  3. C
    3,195
  4. D
    1,080

Answer

3,240
The initial 4%4\% reduction removes 180180 parts (4,500×0.044,500 \times 0.04), leaving 4,3204,320. The subsequent 25%25\% reduction is taken from this remaining base of 4,3204,320, removing another 1,0801,080 parts. Subtracting this from 4,3204,320 leaves 3,2403,240 parts for the active maintenance bays.

Step-by-Step Solution

1
Calculate the number of parts flagged for immediate deployment.
4,500×0.04=1804,500 \times 0.04 = 180
To find the 4%4\% portion of the initial total shipment.
2
Determine the remaining number of parts after the first deployment.
4,500−180=4,3204,500 - 180 = 4,320
The next percentage reduction applies only to the parts that remain in the warehouse.
3
Calculate the number of parts placed in long-term storage.
4,320×0.25=1,0804,320 \times 0.25 = 1,080
To find the 25%25\% of the newly calculated remaining pool.
4
Subtract the stored parts to find the final distributed amount.
4,320−1,080=3,2404,320 - 1,080 = 3,240
To determine the final quantity distributed to the active maintenance bays.

Key Concept

Calculating sequential percentages on remaining quantities
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Topics

Calculating Percentages of Quantities

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