Question
'A' and 'B' entered into a business with investments of
Rs. 6,000 and Rs. 9,000 respectively. 20% of the overall profit is allocated to 'A' for handling the business. The rest is split in proportion to their investments. If 'A' receives a total of Rs. 4,600 as profit after a year, then what is the total profit?Solution
ATQ,
Ratio of profit share of 'A' to 'B' = 6000:9000 = 2:3 Let the total profit be Rs. '100p' So, 0.2 × 100p + (2/5) × 0.8 × 100p = 4,600 Or, 20p + 32p = 4,600 Or, 52p = 4,600 Or, 'p' = 88.46 Therefore, total profit = 100 × 88.46 = Rs. 8,846
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