CAT 2021 Slot 3 · Quant · Question 2
CAT 2021 Slot 3 previous year question on Time and Work, with the answer and a step-by-step 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 ₹ received by him is
Answer & solution
Answer: 3000
Payment follows the share of work actually done, so find each share over the 6 days.
Anil does \frac{6}{12}=\frac{1}{2} of the house, and Barun does \frac{6}{16}=\frac{3}{8}.
Chandu does the remainder: 1-\frac{1}{2}-\frac{3}{8}=\frac{8-4-3}{8}=\frac{1}{8}.
So Chandu receives \frac{1}{8}\times 24000=3000, that is ₹3000.
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