Multiple choice

In a business, 30% investment is made by person A and rest of the investment is made by persons B, C and D. The investment of person C is 35% more than the investment of person B. The investment of person D is (400/27)% less than the investment of person C. They donate 10% of the total profit to an NGO – Save the Children India and the remaining profit is divided among them in the ratio of their investments. If the profit share of person A is Rs. 7,875 more than the profit share of person D, then which of the following options represents the profits of persons B and D, respectively? (i) Rs. 22,500 and Rs. 25,875 (ii) Rs. 24,500 and Rs. 28,424 (iii) Rs. 23,500 and Rs. 24,435 (iv) Rs. 22,000 and Rs. 25,645 (v) Rs. 24,329 and Rs. 23,445

  1. (ii)

  2. (i)

  3. (iv)

  4. (v)

  5. (iii)
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B Correct answer
Explanation

A=30%, B+C+D=70%. C = 1.35B. D = C * (1 - 400/2700) = C * (23/27) = 1.35B * (23/27) = 1.15B. Total B+C+D = B + 1.35B + 1.15B = 3.5B = 70%. So B=20%, C=27%, D=23%. Profit share ratio A:B:C:D = 30:20:27:23. A - D = 7 units = 7875. 1 unit = 1125. B = 20 * 1125 = 22500. D = 23 * 1125 = 25875.

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