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
Explanation:
Let the total work to be done = LCM (60, 84) = 420 units.
Efficiency of Anil = 420/60 = 7 units/day Efficiency of Bimal = 420/84 = 5 units/day
Work done by Anil in 10 + 14 days = 24 × 7 = 168 units
Work done by Bimal in 14 days = 14 × 5 = 70 units
∴ Work done by Charu = 420 – 70 - 168 = 182 units
Fraction of work done by Charu = 182/420 = 91/210
∴ Payment received by Charu = 91/210 × 21,000 = Rs. 9,100
Hence, option (a).
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