Multiple choice

Directions: In a start-up, 40% investment is made by the government and the rest of the investment by four CEOs of different companies, i.e. A, B, C and D. The investment of B's CEO is 25% more than that of A's CEO. The investment of C's CEO is 16/15th of that of B's CEO and the investment of D's CEO is 17/16th of that of C's CEO. They invest their money for one year. They donate 2% of the total profit to an NGO for social work and the remaining profit is divided among them in the ratio of their investments including time. If the profit share of A is Rs. 1,61,040, then which of the following options represents the profit of the government, B and D, respectively? (i) Rs. 5,36,800, Rs. 2,01,300 and Rs. 2,28,140 (ii) Rs. 5,36,800, Rs. 2,21,300 and Rs. 2,43,140 (iii) Rs. 6,36,800, Rs. 1,01,300 and Rs. 2,28,140 (iv) Rs. 6,36,800, Rs. 2,31,300 and Rs. 2,38,140 (v) Rs. 5,46,800, Rs. 2,51,300 and Rs. 2,08,140

  1. (i)

  2. (ii)

  3. (iii)

  4. (iv)

  5. (v)
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The investment ratios are A:B:C:D. B = 1.25A, C = (16/15)B = (16/15)(5/4)A = (4/3)A, D = (17/16)C = (17/16)(4/3)A = (17/12)A. The ratio A:B:C:D is 1:1.25:1.33:1.416, or 12:15:16:17. Profit share of A is 1,61,040. Total profit after 2% donation is X. A's share is (12/60) * 0.98X = 1,61,040. Solving for X gives the total profit, allowing calculation of other shares.

AI explanation

Let the total investment be 100 units, leaving 60 units for the four CEOs. Assigning A's investment as 120 base units, B's is 150, C's is 160, and D's is 170, making their total 600. Therefore, A's investment is (120/600) times 60, which is 12 units of the total 100. As the government holds 40 units and A holds 12 units, the government profit is (40/12) times Rs. 1,61,040, equalling Rs. 5,36,800. B holds 15 units, so his profit is (15/12) times Rs. 1,61,040, equalling Rs. 2,01,300. D holds 17 units, making his profit (17/12) times Rs. 1,61,040, equalling Rs. 2,28,140. These values match option (i).

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