Question
A and B initiated a business by
investing Rs. 6,000 and Rs. 3,000, respectively. Their investments were made for 8 months and 'm' months, respectively. If A's share of the profit is Rs. 4,800 out of a total profit of Rs. 6,300, determine the value of 'm'.Solution
ATQ, Ratio of profit shares of A and B = (6000 × 8):(3000 × m) = 48000:3000m = 16:m ATQ; (16/16+m) = 4800/6300 or, [16/(16+m)] = 16/21 or, 16 × (16 + m) = 16 × 21 or, 256 + 16m = 336 Or, 16m = 80 or, m = 5
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