Multiple choice

An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Rs. 200 of his share to Q, the ratio among P, Q and R becomes 3:10:3 respectively .What was the total amount?

  1. Rs. 6,400

  2. Rs. 12,800

  3. Rs. 3,200

  4. Rs. 3,600
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A Correct answer
Explanation

Let shares be 6x, 19x, 7x (total 32x). After R gives 200 to Q: P=6x, Q=19x+200, R=7x-200. New ratio 3:10:3 means (19x+200)/(6x) = 10/3 and (7x-200)/(6x) = 3/6 = 1/2. From first: 57x+600 = 60x, so 3x = 600, x = 200. Total = 32×200 = 6400.

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