Multiple choice

A sum of money is divided among A, B, C and D in the ratio 3 : 7 : 11 : 15, respectively. If the share of D is Rs. 3,816 more than the share of A, then what is the total amount of money of B and C together?

  1. Rs. 4,762

  2. Rs. 7,562

  3. Rs. 6,678

  4. Rs. 5,724

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the shares be 3x, 7x, 11x, 15x. D - A = 15x - 3x = 12x = 3816. So x = 318. Total of B and C = 7x + 11x = 18x = 18 * 318 = 5724.

AI explanation

Let the shares of A, B, C, and D be 3x, 7x, 11x, and 15x respectively. The difference between D's and A's shares is 15x - 3x = 12x, which equals Rs. 3816, making x = 318. The combined amount of B and C is 7x + 11x = 18x. Multiplying 18 by 318 gives Rs. 5724.