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A and B undertake a piece of work for Rs. 250. A alone can do that work in 5 days and B alone can do that work in 15 days. With the help of C, they finish the work in 3 days. If every one gets paid in proportion to work done by them, the amount C will get is :
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- Rs. 50
- Rs. 100
- Rs. 150
- Rs. 200
Correct Option: A
Let C alone complete the work in x days.
According to the question,
| = | + | + | = | |||||
| 5 | 15 | x | 3 |
| ⇒ | = | - | - | |||||
| x | 3 | 5 | 15 |
| = | = | |||
| 15 | 15 |
∴ x = 15 days = Time taken by C alone.
Ratio of the 1 day’s work of A, B
| and C = | : | : | = 3 : 1 : 1 | |||
| 5 | 15 | 15 |
Sum of the terms of ratio
= 3 + 1 + 1 = 5
| ∴ C’s share = Rs. |  | × 250 |  | = Rs. 50 | 5 |
