Multiple choice

A can do a piece of work in 15 days, B can do the same work in 10 days, and C do the same work in 12 days. All three of them do the same work together, then they collectively get Rs. 9000. If B’s share is divided among three new persons D, E and F in the ratio of 1 : 5 : 3 respectively then find the share of F.

  1. 1800

  2. 2700

  3. 1400

  4. 1200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work rates: A=1/15, B=1/10, C=1/12. Total rate = 1/15+1/10+1/12 = 4/60+6/60+5/60 = 15/60 = 1/4. B's share = (1/10)/(1/4) × 9000 = 3600. F's share in 1:5:3 ratio = (3/9) × 3600 = 1200. Money is distributed in proportion to work contribution.

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