Multiple choice

Directions: The question below contains a statement followed by Quantity I and Quantity II. Find both the quantities to determine the relationship among them and mark your answer accordingly. Lovely, Isha and Sweta are three partners in a business. Lovely invests Rs. 2000 for 4 months, Isha invests Rs. 1500 for 5 months and Suman invests Rs. 700 for 1 year. At the end of the one year, the total profit is Rs. 2390. Quantity I: Lovely's share in profit Quantity II: Isha's share in profit

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≤ Quantity II

  4. Quantity I ≥ Quantity II

  5. Quantity I = Quantity II, or the relationship cannot be established from the information given.
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A Correct answer
Explanation

Profit shares are proportional to investment multiplied by time. Lovely's ratio unit is 2000 × 4 = 8000, while Isha's is 1500 × 5 = 7500, so Lovely receives more profit.

AI explanation

To compare the shares using the partnership method, calculate the effective capital by multiplying the investment amount by the time period for each person. Ignoring the irrelevant name Suman, Lovely's effective investment is Rs 2000 for 4 months (2000 * 4 = 8000), while Isha's effective investment is Rs 1500 for 5 months (1500 * 5 = 7500). Since 8000 is greater than 7500, Lovely's share is greater than Isha's share, establishing that Quantity I > Quantity II.

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