CAT 2021 Slot 3 QA Q2 Time & Work

Question 2 of the Quantitative Ability (QA) section, CAT 2021 Slot 3, with CAT's official answer and a worked solution.

Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is

TITA: type in the answer. There are no options and no negative marking.

Answer: 3000 Time & Work TITA

Solution

  1. In 6 days Anil does \(\frac{6}{12} = \frac12\) and Barun does \(\frac{6}{16} = \frac38\) of the house.
  2. Chandu does \(1 - \frac12 - \frac38 = \frac18\).
  3. His pay \(= \frac18 \times 24000 = 3000\).

Same concept in other years

See every question on Wages split in proportion to the work each person did.

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