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Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: 8 monthsQuantity II: Akbar and Shabnam are partners in a business. Akbar received (1/6) of the profit and Shabnam invested (1/6) of the capital for 12 months. Find the period of Akbar’s investment.1. Quantity I = Quantity II2. Quantity I ≥ Quantity II3. Quantity I ≤ Quantity II4. Quantity I ˂ Quantity II5. Quantity I ˃ Quantity II |
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Answer» Correct Answer - Option 5 : Quantity I ˃ Quantity II Quantity I: 8 months Quantity II: Let the total profit be Rs. x ⇒ Akbar’s share = x/6 ⇒ Shabnam’s share = (x) – (x/6) = 5x /6 Profit ratio of Akbar and Shabnam = 1 : 5 Let total capital be Rs. a and period of investment of Akbar be ‘t’ months ⇒ [(a/6) × 12] : [(5a/6) × t] = 5 : 1 ⇒ [12a/6] : [5at/6] = 5 : 1 ⇒ [(12a/6) × (6/5at)] = 5 : 1 ⇒ t = 12/25 months ∴ Quantity I > Quantity II |
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