Multiple choice

A certain amount of money has to be divided between two persons P and Q in the ratio 5:7. But it was divided in the ratio 2:5, and thereby Q gains Rs. 33. Find the total amount.

  1. 160

  2. 140

  3. 252

  4. 120

  5. 150
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total amount be x. Intended ratio 5:7 means P should get 5x/12 and Q should get 7x/12. Actual ratio 2:5 means P got 2x/7 and Q got 5x/7. Q's gain = actual - intended = 5x/7 - 7x/12 = (60x - 49x)/84 = 11x/84 = 33. So x = 33×84/11 = 3×84 = Rs. 252. Option C is correct.

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