Question:
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
[A].Rs. 375
Rs. 400
Rs. 600
Rs. 800
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
[A].
[B].
[C].
[D].
Answer: Option B
Explanation:
| C’s 1 day’s work = | 1 | – | 1 | + | 1 | = | 1 | – | 7 | = | 1 | . | ||
| 3 | 6 | 8 | 3 | 24 | 24 |
| A’s wages : B’s wages : C’s wages = | 1 | : | 1 | : | 1 | = 4 : 3 : 1. |
| 6 | 8 | 24 |
| C’s share (for 3 days) = Rs. | 3 x | 1 | x 3200 | = Rs. 400. | ||
| 24 |