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Rs.15000 were invested by Ram and Shyam together to start a small business.They got a profit of Rs.2000 at the end of the year.Shyam took his profit share of Rs.600.How much did Ram invest?Rs.9000Rs.4500Rs.10500Rs.11000

Question

Rs.15000 were invested by Ram and Shyam together to start a small business.They got a profit of Rs.2000 at the end of the year.Shyam took his profit share of Rs.600.How much did Ram invest?Rs.9000Rs.4500Rs.10500Rs.11000

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Solution

The total profit is Rs. 2000, out of which Shyam took Rs. 600. This means Ram got the rest of the profit, which is Rs. 2000 - Rs. 600 = Rs. 1400.

The ratio of their investments is therefore the same as the ratio of their profits, which is 1400:600 or 7:3.

Let's denote Ram's investment as R and Shyam's investment as S. We know that R + S = Rs. 15000 and that R/S = 7/3.

Solving these two equations, we get R = Rs. 10500 and S = Rs. 4500.

So, Ram invested Rs. 10500.

This problem has been solved

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