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P, Q and R started a business by investing the money in the ratio 4 ∶ 3 ∶ 5. P left the business after 6 months and R left after 8 months. The profit at the end of the year is 5/9th of total investment. Find the amount of investment done by P, if the profit share by R is Rs. 40000.1). Rs. 480002). Rs. 600003). Rs. 720004). Rs. 75000 |
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Answer» P, Q and R started a business by INVESTING the money in the RATIO 4 ? 3 ? 5. P left the business after 6 MONTHS and R left after 8 months; ∴ Profit sharing ratio = (4 × 6) ? (3 × 12) ? (5 × 8) = 12 ? 18 ? 20 Since profit share by R is Rs. 40000; ∴ Total profit = 40000 × 50/20 = Rs. 100000 Since profit at the end of the year is 5/9th of total investment done; ∴ Total investment = 100000 × 9/5 = Rs. 180000 ∴ Investment done by P = 180000 × 4/12 = Rs. 60000 |
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