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Harshad Mehta and his wife invested in the share market. Harshad invests 2/3 of the total sum for 9 months and his wife gets 3/5 of the profits. For how long, her wife invested in the market?1. 18 months2. 16 months3. 27 months4. 12 months5. 29 months |
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Answer» Correct Answer - Option 3 : 27 months Given: Harshad’s investment is 2/3 of the total sum Harshad invest for 9 months Harshad’s wife gets 3/5 of the profit Concept used: Profit ∝ Investment Profit ∝ Time So, the ratio of profit is directly proportional to the product of investment and time. Calculation: Assume that the total sum is P, total profit is M and T is the time for which investment of Harshad's wife was in the market Sum invested by Harshad = 2/3P Sum invested by his wife = 1/3P Profit of his wife = 3/5M ⇒ Profit of Harshad = (1 − 3/5)M = 2/5M For Harshad, 2/3P × 9 = 2/5M ⇒ M/P = 15 For Harshad’s wife, 1/3P × T = 3/5M ⇒ T = 3/5 × 3 × M/P ⇒ T = 27 ∴ The time for which investment of Harshad's wife was in the market is 27 months. |
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