Multiple choice

A alone can do a piece of work in 8 days, B alone can do the same in 10 days, and C alone can do the same in 12 days. If all three of them do this piece of work together and they are paid Rs. 7400 in return, then what will be the share (in Rs.) of B?

  1. 2600

  2. 3000

  3. 2400

  4. 2000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work rates: A=1/8, B=1/10, C=1/12. Ratio of work done = 1/8 : 1/10 : 1/12. Multiply by 120: 15 : 12 : 10. Total parts = 37. Share of B = (12/37) * 7400 = 12 * 200 = 2400.

AI explanation

The wages are distributed in proportion to the work done, meaning the ratio of their shares equals the ratio of their efficiencies. The ratio of their one day's work is 1/8 to 1/10 to 1/12. Finding a common denominator of 120, this ratio becomes 15 to 12 to 10. B's share of the total 7400 rupees is calculated as 12 divided by 37, multiplied by 7400, which equals 2400 rupees.

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