Multiple choice

In the following questions, two quantities are given as Quantity I and Quantity II. Find the correct relationship. Quantity I: A, B and C entered into a partnership by starting a business and each of them invested Rs 18000. After 3 months A withdrew Rs 4000, after 2 months B withdrew Rs 3000 and C invested Rs 2000. At the end of the year, total profit made was Rs 25585. Find the difference between the share of A and C. Quantity II: A, B and C entered into partnership. A invested 2 times as much as B. B invested 3 times as much as C. At the end of the year the profit is Rs 92000. Find the sum of the share of A and C.

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity II > Quantity I

  4. Quantity II ≥ Quantity I

  5. Quantity I = Quantity II or Relation cannot be established
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Quantity I: Investment ratio A:B:C = (18000×3 + 14000×9):(18000×5 + 15000×7):(18000×5 + 20000×7) = 180000:195000:230000 = 36:39:46. C's share - A's share = (46-36)/121 × 25585 = 2113. Quantity II: If C = x, then B = 3x, A = 6x. A + C share = (7/10) × 92000 = 64400. Clearly 64400 > 2113.

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