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Shirt Factory Defect and Sales Percentages

CAT 2017 Slot 2 · Quantitative Ability · Easy · Percentages

This is an easy Quantitative Ability question from the CAT 2017 Slot 2 paper. It tests Percentages. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is

  1. A.

    13600

  2. B.

    13000

  3. C.

    13400

  4. D.

    14000

Answer

B

Explanation

Let the total number of shirts produced be NN.

Non-defective shirts = 85%85\% of N=0.85NN = 0.85N.

Shirts left for export = 80%80\% of 0.85N=0.80×0.85N=0.68N0.85N = 0.80 \times 0.85N = 0.68N.

Given 0.68N=88400.68N = 8840: N=88400.68=13000N = \frac{8840}{0.68} = 13000

Thus, 13,000 shirts were produced.

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