Multiple choice

There are two quantities provided in the following questions. You have to find out the values of the quantities and compare them according to the given codes as follows:- 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 85910. 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 I < Quantity II

  4. Quantity I ≤ Quantity II

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

Quantity I: A invests Rs 18000 for 3 months and Rs 14000 for 9 months = 54000 + 126000 = 180000. B invests Rs 18000 for 5 months and Rs 15000 for 7 months = 90000 + 105000 = 195000. C invests Rs 18000 for 5 months and Rs 20000 for 7 months = 90000 + 140000 = 230000. Ratio 180:195:230 = 36:39:46. A's share = (36/121) × 85910 = Rs 25541, C's share = (46/121) × 85910 = Rs 32651. Difference = Rs 7110. Quantity II: Let C's investment = x, then B = 3x, A = 6x. Ratio A:B:C = 6:3:1 = 6 parts. A + C = (6/6) × 92000 = Rs 92000. Since 7110 < 92000, Quantity I < Quantity II.

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