Question
'M' and 'N' started a business by investing Rs. 16,000 and Rs. 20,000 respectively. 30% of total profit is given to 'M' for managing the business, and rest of the profit is distributed between them in the ratio of investment. If at the end of a year, total profit received by 'M' is Rs. 8,250, then find the total profit.
Solution
Ratio of profit share of 'M' to 'N' = 16000:20000 = 4:5 Let the total profit be Rs. '90p' So, 0.3 X 90p + (4/9) X 0.7 X 90p = 8,250 Or, 27p + (4/9) X 63p = 8,250 Or, 27p + 28p = 8,250 Or, 55p = 8,250 Or, 'p' = 150 Therefore, total profit = 90 X 150 = Rs. 13,500
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