Work and wages for painting a house

CAT 2021 Slot 3 · QA · Easy · Work and time

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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

Answer

3000

Explanation

In 6 days:

  • Anil completes 612=12\frac{6}{12} = \frac{1}{2} of the work.
  • Barun completes 616=38\frac{6}{16} = \frac{3}{8} of the work.

Together, Anil and Barun complete: 12+38=78 of the work\frac{1}{2} + \frac{3}{8} = \frac{7}{8}\text{ of the work}

Hence, Chandu completes the remaining work: 1−78=18 of the work1 - \frac{7}{8} = \frac{1}{8}\text{ of the work}

Chandu's payment = 18×24000=₹3000\frac{1}{8} \times 24000 = ₹ 3000.

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