Multiple choice

A, B and C can do a piece of work in 30, 40 and 60 days, respectively. A works for 5 days alone and then B joins him. After another 8 days, C joins them. 2 days after that, A leaves the work. 2 days later, B also leaves. C completes the remaining work. If Rs. 6000 are paid for the work, then what is the difference between the amounts that B and C get?

  1. Rs. 500

  2. Rs. 200

  3. Rs. 300

  4. Rs. 600

  5. Rs. 1350
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Assuming total work is 120 units, the daily work units for A, B, and C are 4, 3, and 2 respectively. Counting their individual total days worked from start to finish, A works 15 days to complete 60 units, B works 18 days to complete 54 units, and C works for 12 days to complete 24 units. The payment ratio is 60:54:24, or 10:9:4; calculating the difference between B and C's shares of the 6000 rupees gives Rs. 600.

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