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Ram, Shyam and Raju entered into a partnership by investing in the ratio of 5 : 3 : 4. At the end of the year, the total profit is in the ratio of 15 : 12 : 32. Then find the ratio of the period of time they invested in the business.


1. 9 : 10 : 13
2. 9 : 10 : 15
3. 5 : 7 : 9
4. 3 : 4 : 8
5. None of these

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Correct Answer - Option 4 : 3 : 4 : 8

Given: 

Ratio of investment of Raju, Shyam and Raju = 5 : 3 : 4

Ratio of their profits afetr the end of a year = 15 : 12 : 32

Concept used:

The Ratio of investment × Ratio of Period = The ratio of Profit

The Ratio of Period = The ratio of Profit/ Ratio of investment

Calculation:

According to the question,

⇒ 15/5 : 12/3 : 32/4

⇒ 3 : 4 : 8

∴ Required ratio is 3 : 4 : 8

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