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A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?
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- $250, $100, $100
- $225, $150, $75
- $200, $150, $100
- $175, $175, $100
Correct Option: B
According to question , we have
Here , Received money = $ 450
| (A + B)’s 5 day’s work = 5 |  | 1 | + | 1 |  |
| 10 | 15 |
| (A + B)’s 5 day’s work = 5 | | 3 + 2 | | = | 5 |
| 30 | 6 |
| Remaining work = 1 - | 5 | = | 1 |
| 6 | 6 |
| ∴ C’s 2 days’ work = | |
| 6 |
| Now, A’s 5 days’ work : B’s 5 days’ work : C’s 2 days’ work = | : | : | = 3 : 2 : 1 | |||
| 10 | 15 | 6 |
| ∴ A’s share = $ | | 450 x | | = $ 225 | 6 |
| B’s share = $ | | 450 x | | = $ 150 | 6 |
C’s share = $[450 - ( 225 + 150 )] = $75
