Multiple choice

Passage

Directions: In the following item, quantity I and quantity II are given. Determine the relationship between the quantities and choose the appropriate option. (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I = Quantity II or the relationship cannot be established from the information given (5) If Quantity I ≤ Quantity II

Gabbar, Kalia and Sambha started a business by investing amounts in the ratio 4 : 6 : 5. After 3 months, Gabbar increased his investment by 25%. After 3 more months, Kalia increased his investment by 50%. Three months after this, Sambha doubled his investment. At the end of one year, they earned a profit of Rs. 4,80,000. Quantity I: Profit share of Kalia Quantity II: Profit share of Sambha

  1. (1)

  2. (2)

  3. (3)

  4. (4)

  5. (5)

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B Correct answer
AI explanation

Assuming initial investments of 4x, 6x, and 5x for Gabbar, Kalia, and Sambha, calculate their effective capital for the year by multiplying the investment by the number of months. Kalia's effective capital is (6x * 6) + (9x * 6) = 90x, while Sambha's effective capital is (5x * 9) + (10x * 3) = 75x. Since 90x is greater than 75x, Kalia's profit share is larger than Sambha's, meaning Quantity I is greater than Quantity II.