Multiple choice

Mayank, Deepak and Pawan, each of them working alone can complete a piece of work in 5, 10 and 15 days,respectively. If all three of them work together to complete the work and earn Rs. 11,000, what will be Deepak's share of the earnings?

  1. Rs. 2000

  2. Rs. 6000

  3. Rs. 4000

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

Work rates: Mayank = 1/5, Deepak = 1/10, Pawan = 1/15. Ratio of work done = 1/5 : 1/10 : 1/15 = 6 : 3 : 2. Total parts = 6+3+2 = 11. Deepak's share = (3/11) * 11000 = 3000.

AI explanation

The earnings are distributed in the ratio of their efficiencies, which is the inverse of their time taken: 1/5 : 1/10 : 1/15. Multiplying by 30 gives the simplified ratio as 6 : 3 : 2. Deepak's share is 3 parts out of the total 11 parts. Multiplying the total Rs. 11,000 by 3/11 gives Deepak's share as Rs. 3000.

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