Four individuals A, B, C, and D share a sum of money in the ratio 7:4:3:2 respectively. If D's share is Rs. 500 less than A's share, what is the total amount of money?

Explanation

Let the common multiplier be x. Then the shares are 7x, 4x, 3x, and 2x for A, B, C, and D respectively. Given that A's share minus D's share equals Rs. 500, we have 7x - 2x = 500, which simplifies to 5x = 500. Therefore, x = 100. The total sum is the sum of all shares: 7x + 4x + 3x + 2x = 16x = 16 * 100 = Rs. 1600.