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Rohit started a business with a capital of Rs. 60,000. Virat joined him after some time with a capital of Rs. 75,000. After how many months did Virat joined if the profits are shared in the ratio of 48 : 35 at the end of the year?
1. 9 months
2. 5 months
3. 8 months
4. 7 months

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Correct Answer - Option 2 : 5 months

Given:

Investment of Rohit = Rs. 60,000

Investment of Virat = Rs. 75,000

Time of investment of Rohit = 12 months

Concept:

The profit is divided in the ratio of the investment times the time of investment.

Calculation:

Let the time of investment of Virat = y months

∴ (60,000 × 12)/(75,000 × y) = 48/35

⇒ (48)/(5y) = 48/35

⇒ y = (48 × 35)/(48 × 5)

⇒ y = 7 months

∴ Virat joined after (12 - 7) = 5 months

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