Multiple choice

A sum of money is divided among three persons X, Y and Z in the ratio 3 : 4 : 1 If Z got Rs.3000, find the total sum distributed?

  1. 24000

  2. 25000

  3. 23000

  4. 22000

  5. None of these

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A Correct answer
Explanation

Ratio X:Y:Z = 3:4:1. Z = 1 part = 3000. Total parts = 3+4+1 = 8. Total sum = 8 * 3000 = 24000.

AI explanation

Let the shares of X, Y and Z be 3x, 4x and x. Given Z's share is Rs. 3000, so x = 3000. The total sum distributed is the sum of all parts (3x + 4x + x = 8x). Substituting the value of x gives 8 * 3000 = 24000.