Multiple choice

Passage

Directions: In the following question, two quantities are given numbered I and II. Determine the relationship between the quantities and choose the appropriate option. Give answer according to these codes: (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I ≤ Quantity II (5) If Quantity I = Quantity II, or the relationship cannot be established from the information given.

A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000, respectively. After six months, C joined them with Rs. 20,000. The total profit of Rs. 25,000 was earned at the end of 2 years from the starting of the business. Quantity I: Share of C Quantity II: Share of B

  1. (1)

  2. (5)

  3. (3)

  4. (4)

  5. (2)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit ratios: A = 20000 * 24, B = 15000 * 24, C = 20000 * 18. Ratios = 480000 : 360000 : 360000 = 4 : 3 : 3. Total parts = 10. C's share = 3/10 * 25000 = 7500. B's share = 3/10 * 25000 = 7500. Thus, Quantity I = Quantity II.

AI explanation

Using the partnership formula, the profit ratio is determined by the product of investment and time. The ratio for A, B, and C is 20000 * 24 : 15000 * 24 : 20000 * 18, which simplifies to 8 : 6 : 6. Out of the total 20 parts in the profit ratio, C gets (6/20) * 25000, which equals 7500, and B gets (6/20) * 25000, which is also 7500. Since Quantity I and Quantity II are equal, the correct choice is option 5.

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