Multiple choice

Directions: In the following question, we have two quantities given. Compare these quantities and answer accordingly. Kiran and Ankit invested some amount in a business. Quantity I. Share of Ankit, if Kiran invested Rs. 7,000 for 3 months, Ankit invested Rs. 6,000 for 9 months, and the total amount of profit earned by both of them is Rs. 5,000 Quantity II. Share of Kiran, if Ankit invested Rs. 9,000 for 5 months, Kiran invested Rs. 5,000 for 7 months, and the total amount of profit earned by both of them is Rs. 6,000

  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 No relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Q1: Profit ratio = (7000*3) : (6000*9) = 21000 : 54000 = 7 : 18. Ankit's share = (18/25) * 5000 = 3600. Q2: Profit ratio = (5000*7) : (9000*5) = 35000 : 45000 = 7 : 9. Kiran's share = (7/16) * 6000 = 2625. 3600 > 2625.

AI explanation

For Quantity I, the effective investment ratio is 7000*3 : 6000*9, which simplifies to 7:18, making Ankit's share (18/25)*5000 = 3600. For Quantity II, the effective investment ratio is 9000*5 : 5000*7, which simplifies to 45:35, making Kiran's share (35/80)*6000 = 2625. Since 3600 is greater than 2625, Quantity I is greater than Quantity II.

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