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A and B undertake to do a work together for ₹ 600. A alone can do it in 15 days and B in 20 days. But with the assistance of C they finish it in 5 days. How is the money to be divided among them?
A , B and C
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- 200 , 200 , 200
- 200 , 250 ,150
- 200 , 150 , 250
- 150 , 200 , 250
Correct Option: C
| Given :- A's one day work = | |
| 15 |
| B's one day work = | |
| 20 |
C’s one day’s work = 1/5 - (1/15 + 1/20) = 5/60.
| C's one day work = | |
| 12 |
Thus the ratio of efficiencies of A, B and C is 1/15 : 1/20 : 1/12 = 4 : 3 : 5
| ∴ A ’s share = | × 600 = ₹ 200 | ||
| 12 |
| B ’s share = | × 600 = ₹ 150 | ||
| 12 |
| And C ’s share = | × 600 = ₹ 250 | ||
| 12 |
