Multiple choice

A certain amount of money has to be divided between two persons P and Q in the ratio 3 : 5 .But it was divided in the ratio of 2 : 3 and thereby Q loses Rs. 10 .What was the amount ?

  1. Rs. 250

  2. Rs.300

  3. Rs. 350

  4. Rs.400
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total amount = x. Q's share in 3:5 ratio = 5x/8, in 2:3 ratio = 3x/5. Loss: 5x/8 - 3x/5 = (25x-24x)/40 = x/40 = 10, so x = 400. Verification: In 3:5, Q gets 250; in 2:3, Q gets 240. Loss = 10.

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