Multiple choice

A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, what amount will C get?

  1. Rs. 50

  2. Rs. 100

  3. Rs. 150

  4. Rs. 200
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A's rate = 1/5, B's rate = 1/15. In 3 days, A does 3/5, B does 3/15 = 1/5. C does 1 - (3/5 + 1/5) = 1/5. Since they are paid in proportion to work, C gets 1/5 of 250 = 50.

AI explanation

Using the Least Common Multiple method, let the total work be 15 units. The daily work capacities are 3 units for A, 1 unit for B, and C units for C, making a combined daily capacity of 4 plus C. Since the team finishes the 15 units in 3 days, their combined daily capacity is 5 units, meaning C completes 1 unit daily. Over 3 days, C contributes 3 units out of the total 15 units, so his proportional payment from the Rs. 250 total is 250 multiplied by 3 divided by 15, which equals Rs. 50.

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