Multiple choice

A sum of money is distributed among P, Q, R, S and T in the ratio 7 : 8 : 5 : 9 : 2 respectively and P gets Rs. 400 more than R. What is the total sum of money?

  1. Rs. 6200

  2. Rs. 6800

  3. Rs. 6280

  4. Rs. 7600

  5. Rs. 7800
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A Correct answer
Explanation

Let the shares be 7x, 8x, 5x, 9x, 2x. P gets 7x, R gets 5x. P - R = 2x = 400, so x = 200. Total sum = (7+8+5+9+2)x = 31x = 31 * 200 = 6200.

AI explanation

The given ratio of shares for P and R is 7 : 5, making the difference in their ratio parts 2 units. We are given that this difference equals Rs. 400, so 2 units equals 400, meaning 1 unit equals 200. The total sum is represented by the sum of all ratio parts, 7 plus 8 plus 5 plus 9 plus 2, which equals 31 units. Multiplying the total units by the value of one unit gives 31 times 200, resulting in a total sum of Rs. 6200.

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