InterviewSolution
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X and Y started a business by investing in the ratio of 3 : 5. After 4 months from the start of business Z joins with an amount equal to 1/4th of A and B. Find total profit at the end of the year, if Y got Rs. 22,500 as his share.1. Rs. 40,0002. Rs. 42,0003. Rs. 32,0004. Rs. 48,000 |
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Answer» Correct Answer - Option 2 : Rs. 42,000 Given: Ratio of investment of X and Y= 3 : 5 Investment of Z = 1/4 × (investment of X + investment of Y) Time period for investment of X = time period for investment of Y = 12 months Time period for investment of Z = 8 months Profit of Y = Rs. 22500 Concept used: Ratio of product of time and investment = Ratio of profit Calculation: Let investments of X and Y be 3X and 5X respectively Investment of Z = 1/4 × (3X + 5X) = 1/4 × 8X = 2X Ratio of investment of time and investment = 3X × 12 : 5X × 12 : 2X × 8 = 36X : 60X : 16X = 9 : 15 : 4 Ratio of product of time and investment = Ratio of profit Ratio of profit = 9 : 15 : 4 Profit of Y = Rs. 22500 (Given) ⇒ 15R/28 = 22500 ⇒ R/28 = 1500 ⇒ R = 1500 × 28 = 42000 ∴ Total profit is Rs. 42,000. |
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