A starts a business with Rs. 5000 and after 6 months B joins A. At the end of the year, the profit is divided between A and B in the ratio 2 : 3. What amount did B invest in the business?
Question
A starts a business with Rs. 5000 and after 6 months B joins A. At the end of the year, the profit is divided between A and B in the ratio 2 : 3. What amount did B invest in the business?
Solution
To solve this problem, we need to understand that the profit share of a business partner is directly proportional to the product of the money invested and the time for which the money was invested.
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A's investment was Rs. 5000 for 12 months. So, A's share is proportional to 5000*12 = 60000.
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We don't know B's investment (let's call it x), but we know B invested for 6 months. So, B's share is proportional to x*6.
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The problem states that the profit is divided between A and B in the ratio 2:3. So, A's share / B's share = 2/3.
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We can set up the equation: (500012) / (x6) = 2/3.
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Solving for x, we get x = (5000123) / (2*6) = Rs. 15000.
So, B invested Rs. 15000 in the business.
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