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A sum of ₹ 300 is divided among P, Q and R in such a way that Q gets ₹ 30 more than P and R gets ₹ 60 more than Q. The ratio of their share is
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- 5 : 3 : 2
- 2 : 3 : 5
- 3 : 2 : 5
- 2 : 5 : 3
Correct Option: B
According to question,
P + Q + R = ₹ 300
Now, Q = P + 30
R = Q + 60
= P + 30 + 60 = P + 90
Hence, P + Q + R = ₹ 300
⇒ P + P + 30 + P + 90 = 300
⇒ 3P + 120 = 300
| ⇒ P = | = 60 | |
| 3 |
∴ Share of P = ₹ 60, Q = ₹ 90, R = ₹ 150
⇒ P : Q : R = 60 : 90 : 150
= 6 : 9 : 15
= 2 : 3 : 5
