Question
'A' and 'B' started a business by investing Rs. '5x' and
Rs. '4x' respectively. Six months later, 'A' withdrew Rs. 200 from his investment whereas 'B' invested Rs. 400 more. If at the end of the year, profit share of 'A' was Rs. 10,000 out of total profit of Rs. 30,000, then find the initial investment of 'B'.Solution
ATQ, Ratio of profit shares of 'A' and 'B' at the end of the year = {(5x X 6) + (5x - 200) X 6} : {(4x X 6) + (4x + 400) X 6} = (30x + 30x - 1200) : (24x + 24x + 2400) = (60x - 1200) : (48x + 2400) Now, profit share of 'B' = 30000 - 10000 = Rs. 20,000 ATQ; [(60x - 1200) / (48x + 2400)] = 10000 / 20000 So, investment of 'B' = 1200 X 4 = Rs. 4,800
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