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Two men undertook to do a job for ₹ 1400. One of them can do it alone in 7 days, and the other in 8 days. With the assistance of a boy they together completed the work in 3 days. How much money will the boy get ?
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- ₹ 300
- ₹ 325
- ₹ 275
- ₹ 250
Correct Option: C
Using Rule 25,
| First man’s 1 day’s work = | 7 |
| Second man’s 1 day’s work = | 8 |
| Let, Boy’s 1 day’s work = | x |
| ∴ | + | + | = | |||||
| 7 | 8 | x | 3 |
| ⇒ | = | - | - | |||||
| x | 3 | 7 | 8 |
| = | = | |||
| 168 | 168 |
∴ Ratio of their one day’s work
| : | : | = 24 : 21 : 11 | ||||
| 7 | 8 | 168 |
Sum of the ratios
= 24 + 21 + 11= 56
∴ Boy’s share in wages
| = | × 1400 = ₹ 275 | 56 |
