Multiple choice

A is twice as efficient as B and B is twice as efficient as C. If A, B and C work together, a piece of work will be completed in 12 days. A and B start it together and continue for 8 days. After that, A is replaced by C. For his work, A gets paid Rs. 2000. What amount will B get paid?

  1. Rs. 2000

  2. Rs. 2500

  3. Rs. 2650

  4. Rs. 2733.33

  5. Rs. 2800

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Efficiency: A=4, B=2, C=1. Total work = (4+2+1)*12 = 84 units. A+B work for 8 days: (4+2)*8 = 48 units. Remaining work = 84-48 = 36 units. B+C finish: (2+1)*d = 36, d=12 days. Total work done: A=32 units, B=16+24=40 units, C=12 units. A's share 32/84 = 2000. B's share = (40/84) * (2000 * 84/32) = 2500.