Multiple choice

Aman and Sangram undertook to do a piece of work for Rs. 18000. Aman alone can do the work in 16 days while Sangram can do the same work in 24 days. With the assistance of Pramod, they finished the work in 8 days. How much money should be given to Pramod?

  1. 9000

  2. 6000

  3. 4000

  4. 3000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Aman's 1-day work = 1/16, Sangram's 1-day work = 1/24. Their combined 1-day work = 1/16 + 1/24 = 5/48. In 8 days, they complete 8 × (5/48) = 5/6 of the work. So Pramod completed 1/6 of the work in 8 days. Since payment is proportional to work done, Pramod should receive (1/6) × Rs. 18000 = Rs. 3000.

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