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Painting work and share of payment

CAT 2021 Slot 2 · Quantitative Ability · Easy · Rates & Work

This is an easy Quantitative Ability question from the CAT 2021 Slot 2 paper. It tests Rates & Work. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

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Anil can paint a house in 60 days while Bimal can paint it in 84 days. Anil starts painting and after 10 days, Bimal and Charu join him. Together, they complete the painting in 14 more days. If they are paid a total of ₹ 21000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is

  1. A.

    9000

  2. B.

    9100

  3. C.

    9200

  4. D.

    9150

Answer

B

Explanation

Total work = 1 unit. Anil works for 10+14=2410 + 14 = 24 days. Work done by Anil = 2460=25\frac{24}{60} = \frac{2}{5}.

Bimal works for 1414 days. Work done by Bimal = 1484=16\frac{14}{84} = \frac{1}{6}.

Work done by Charu = 1−(25+16)=1−1730=13301 - \left(\frac{2}{5} + \frac{1}{6}\right) = 1 - \frac{17}{30} = \frac{13}{30}.

Charu's share of ₹ 21000 = 1330×21000=13×700=9100\frac{13}{30} \times 21000 = 13 \times 700 = 9100.

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