Multiple choice

Prem can do a work in 5 days while Prasanth can do the same work in 3 days. Both of them finish the work together and get Rs. 200. What is the share of Prem?

  1. Rs. 65

  2. Rs. 60

  3. Rs. 75

  4. Rs. 70
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Prem's rate is 1/5 work/day and Prasanth's rate is 1/3 work/day. The ratio of their work capacities is 1/5 : 1/3, which is 3 : 5. Prem's share is 3/(3+5) * 200 = 3/8 * 200 = 75.

AI explanation

Using the efficiency method, wages are distributed in proportion to the one-day work done by each person. The ratio of Prem's to Prasanth's one-day work is 1/5 to 1/3. Multiplying by the least common multiple of 15, the efficiency ratio of Prem to Prasanth is 3 to 5. Prem's share of the total Rs. 200 is 3/(3+5) of the amount. Calculating 3/8 of 200 yields Rs. 75.

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