Multiple choice

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 Rs. 21,000 for the job, then the share of Charu, in INR, proportionate to the work done by him, is

  1. 9000

  2. 9200

  3. 9100

  4. 9150
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Anil's rate is 1/60, Bimal's is 1/84. In 10 days, Anil does 10/60 = 1/6. Remaining work is 5/6. In 14 days, Anil, Bimal, and Charu do 5/6. Rate of (A+B+C) = (5/6) / 14 = 5/84. Charu's rate = 5/84 - (1/60 + 1/84) = 5/84 - 12/420 = 25/420 - 12/420 = 13/420. Charu's share = (13/420) * 14 days * 21000 = 9100.

AI explanation

Anil works for a total of 24 days, completing 24/60 of the job. Bimal and Charu work for 14 days each, with Bimal completing 14/84 of the job. The total work done by Anil and Bimal is 24/60 plus 14/84, which simplifies to 7/10, leaving 3/10 of the job for Charu. Since payment is distributed proportionally, Charu's share of the total 21000 rupees is 3/10 of 21000. The result is 9100 rupees.

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