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CAT 2017 Slot 2 — QA Question 5

PercentageEasy

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

Answer & solution

  • A

    13600

  • 13000

  • C

    13400

  • D

    14000

Solution

Let us assume that the number of shirts produced in the factory is ‘100x’. Now 15% of ‘100x’ or ‘15x’ shirts are defective.

So the number of remaining shirts = 100x – 15 = 85x

Now 20% of the remaining ‘85x’or ‘17x’ shirts are sold in the domestic market.

So number of shirts left for exports = 85x – 17x = 68x

As per given information, 8840 shirts are left for exports.

∴ 68x = 8840

⇒ x = 130 or 100x = 13000

So number of shirts produced in the factory is 13000.

Hence, option (b).

CAT 2017 Slot 2 QA Q5: Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic mar — Solution | TheCATExam