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X started a business with a capital of Rs. 13500 while Y invested some money after 3 months. If the end of an year(from X's investment) the profit is shared by X and Y in the ratio 6 : 5. Find the investment of Y?


1. Rs. 15,000
2. Rs. 18,000
3. Rs. 12,000
4. Rs. 14,000

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Correct Answer - Option 1 : Rs. 15,000

Given

Investment of X = Rs. 13,500

Time of investment of X = 12 months

Time of investment of Y = 9 months

Concept:

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

Calculation:

Let the investment of Y = Rs. a

∴ (13,500 × 12)/(a × 9) = 6/5

⇒ (13,500 × 12)/6 = (a × 9)/5

⇒ (13,500 × 2) = (a × 9)/5

⇒ a = (13,500 × 2 × 5)/9

⇒ a = Rs. 15,000

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