Question
'A' and 'B' started a business by investing Rs. '7x' and
Rs. '5x' respectively. Nine months later, 'A' withdrew Rs. 600 from his investment whereas 'B' invested Rs. 300 more. If at the end of the year, profit share of 'A' was Rs. 12,000 out of total profit of Rs. 36,000, then find the initial investment of 'B'.Solution
ATQ, Ratio of profit shares of 'A' and 'B' at the end of the year = {(7x X 9) + (7x - 600) X 3} : {(5x X 9) + (5x + 300) X 3} = (63x + 21x - 1800) : (45x + 15x + 900) = (84x - 1800) : (60x + 900) Now, profit share of 'B' = 36000 - 12000 = Rs. 24,000 ATQ; [(84x - 1800) / (60x + 900)] = 12000 / 24000 So, investment of 'B' = 900 X 5 = Rs. 4,500
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