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Zorluk: OrtaCalculating Percentages of Quantities

An armory receives a shipment of 1,2501,250 tactical vests. During the initial inspection, 8%8\% of the vests are found to be defective and are removed from the inventory. If 20%20\% of the remaining functional vests are immediately issued to a deploying infantry company, how many vests does the company receive?

  1. A
    23
  2. 230Cevap
  3. C
    250
  4. D
    350

Cevap

230
The problem requires a two-step percentage calculation on a changing base. First, find the number of defective vests by multiplying the original total by 8%8\% (1,250×0.08=1001,250 \times 0.08 = 100). Subtracting these from the total leaves 1,1501,150 functional vests. The deploying company receives 20%20\% of these remaining functional vests, which is calculated as 1,150×0.20=2301,150 \times 0.20 = 230 vests.

Adım Adım Çözüm

1
Calculate the number of defective vests.
1,250×0.08=1001,250 \times 0.08 = 100 defective vests.
You must first determine how many vests are removed from the total inventory before calculating the issued amount.
2
Subtract the defective vests from the original shipment.
1,250−100=1,1501,250 - 100 = 1,150 functional vests.
The 20%20\% issue rate applies only to the remaining functional vests, so this new base amount must be established.
3
Calculate 20%20\% of the remaining functional vests.
1,150×0.20=2301,150 \times 0.20 = 230 vests.
This determines the final quantity of vests issued to the deploying infantry company.

Anahtar Kavram

Calculating sequential percentages on a changing base quantity
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Konular

Calculating Percentages of Quantities

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