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A sum of the ₹ 300 is divided among P, Q and R in such a way that Q gets ₹ 30 more than P and R gets ₹ 60 more then Q. Then, ratio of their shares is?
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- 2 : 3 : 5
- 3 : 2 : 5
- 2 : 5 : 3
- 5 : 3 : 2
Correct Option: A
Let the share of P = x
Then, Q's share = x + 30 and
R's share = (x + 30) + 60 = x + 90
Sum of money with P, Q and R = 300
∴ x + (x + 30) + (x + 90) = 300
⇒ 3x + 120 = 300
∴ x = (300 - 120)/3 = 60
∴ Required ratio = 60 : (60 + 30) : (60 + 90) = 2 : 3 : 5
