Multiple choice

A and B take a piece of work for Rs.28800. One alone can do it in 36 days, the other in 48 days. With the assistance of an expert, they can finish the work in 12 days. How much remuneration the expert should get?

  1. Rs.10000

  2. Rs.12000

  3. Rs.16000

  4. Rs.18000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's 1-day work = 1/36, B's 1-day work = 1/48. Combined work in 12 days = 12(1/36+1/48) = 12(7/144) = 7/12. So expert's contribution = 1 - 7/12 = 5/12. Expert's share = (5/12)*28800 = Rs.12000. Wages are distributed in proportion to work done.

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