Multiple choice

A man can complete a specific work in 20 days. Working together with a boy, they can complete the same work in 12 days. If the total earnings for the work is Rs 500 and the money is divided in proportion to the work done by each, what is the financial share of the boy?

  1. 150rs

  2. 180rs

  3. 200rs

  4. 220rs

  5. 240rs
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Man's rate = 1/20. Together rate = 1/12. Boy's rate = 1/12 - 1/20 = (5-3)/60 = 2/60 = 1/30. Ratio of work = 1/20 : 1/30 = 3:2. Boy's share = (2/5)*500 = 200.

AI explanation

The man's 1 day work is 1/20, while their combined 1 day work is 1/12, making the boy's 1 day work the difference: (1/12) - (1/20). Calculating this gives a common denominator of 60, resulting in (5/60) - (3/60) = 2/60, which simplifies to 1/30. The ratio of work done by the man to the boy is their daily rate ratio of 1/20 to 1/30, or 3 to 2, meaning the boy contributes 2 out of 5 total parts. From the total Rs 500, the boy's share is (2/5) * 500, which is Rs 200.

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