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Ravi starts a business with $ 45000. After a certain period of time he is joined by Mohan who invests $ 30000. At the end of the year they divide the profit in the ratio 9 : 4. When did Mohan join Ravi?
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- After 3 months
- After 5 months
- After 6 months
- After 4 months
Correct Option: D
Suppose Mohan joins Ravi after t months.
Then, during the year Mohan’s investment was for (12 – t) months.
Ratio of profit of Ravi and Mohan = 9 : 4
| ∴ | = | 30000 × (12 - t) | 4 |
| ⇒ | = | × | 12 | 30000 | 9 |
| ⇒ | = | ⇒ 36 - 3t = 24 | 12 | 3 |
∴ t = 4 months
Hence , Mohan joins Ravi after 4 months.
