CAT 2021 Time and Work Question (Medium)

Question

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

Accepted Answer

Step 1 Anil s 1 day work 1 12 Barun s 1 day work 1 16 Let Chandu s 1 day work 1 x Step 2 In 6 days, total work 1 So 6 1 12 1 16 1 x 1 1 2 3 8 6 x 1 7 8 6 x 1 6 x 1 8 x 48 Chandu s rate 1 48 per day Step 3 Work done in 6 days Anil 6 12 1 2 Barun 6 16 3 8 Chandu 6 48 1 8 Step 4 Total amount 24000 Chan

CAT 2021

Quantitative

Time and Work

Medium

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

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