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A invested a certain amount in a business for 6 months. B invested 1000 more than that invested by A for six months. After 6 months, A decreased his capital by 1000. At the same time, B also decreased his investment by 1000. The ratio of their profit after one year is 37 : 39. Find the amount B invested in the initial six months.1. 180002. 170003. 190004. 20000 |
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Answer» Correct Answer - Option 4 : 20000 Given: A invested a certain amount in a business for 6 months. B invested 1000 more than that invested by A for six months. After 6 months, A decreased his capital by 1000. At the same time, B also decreased his investment by 1000. The ratio of their profit after one year is 37 : 39. Formula: Ratio of Profit = ratios of product of Amount invested and time Calculation: Let the amount invested by A each for six months be x and x – 1000. Let the amount invested by B each for six months be x + 1000 and x. (6x + 6(x - 1000))/(6(x + 1000) + 6x) = 37/39 (2x - 1000)/(2x + 1000) = 37/39 x = 19000 The amount B invested in the initial six months = x + 1000 = 19000 + 1000 = Rs. 20000 ∴ The amount B invested in the initial six months is Rs.20000. |
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