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A Starts A Business With A Capital Of Rs. 85,000. B Joins In The Business With Rs.42500 After Some Time. For How Much Period Does B Join, If The Profits At The End Of The Year Are Divided In The Ratio Of 3: 1? |
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Answer» Let B joins for x months. Given, A's capital = Rs. 85,000 for 12 months B's capital = Rs. 42,500 for x months Given, Ratio of profit = 3: 1 => Ratio of investment =Ratio of profit => (85000 * 12): (42500 * x) = 3: 1 => (850 * 12): (425 * x) = 3: 1 => (2 * 12): (x) = 3: 1 => 24 / x = 3/1 => x = 24/3 => x = 8 Therefore, No. of months "B" in the BUSINESS = 8 months Let B joins for x months. Given, A's capital = Rs. 85,000 for 12 months B's capital = Rs. 42,500 for x months Given, Ratio of profit = 3: 1 => Ratio of investment =Ratio of profit => (85000 * 12): (42500 * x) = 3: 1 => (850 * 12): (425 * x) = 3: 1 => (2 * 12): (x) = 3: 1 => 24 / x = 3/1 => x = 24/3 => x = 8 Therefore, No. of months "B" in the business = 8 months |
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