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X and Y started a business investing Rs. 12000 and Rs. 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs. 12500. What is the share (in Rs.) of Z in the profit?1). 60002). 45003). 72004). 7500 |
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Answer» X invested Rs. 12000 for 4 months ⇒ X’s TOTAL capital investment = 12000 × 4 = 48000 Y invested Rs. 9000 for 12 months ⇒ Y’s total capital investment = 9000 × 12 = 108000 Z invested Rs. 18000 for 12 - 4 = 8 months ⇒ Z’s total capital investment = 18000 × 8 = 144000 ? Ratio of profit SHARE = Ratio of total capital investment ⇒ Ratio of profit share = 48000 ? 108000 ? 144000 = 4 ? 9 ? 12 Sum of ratios = 4 + 9 + 12 = 25 Now, total profit = Rs. 12500 ∴ Z’s profit share = 12/25 × 12500 = Rs. 6000 |
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