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A sum of ₹ 53 is divided among A, B and C in such a way that A gets ₹ 7 more than what B gets and B gets ₹ 8 more than what C gets. The ratio of their share is
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- 16 : 9 : 18
- 25 : 18 : 10
- 18 : 25 : 10
- 15 : 8 : 30
Correct Option: B
B = C + 8
A = C + 8 + 7 = C + 15
∴ C + 15 + C + 8 + C = 53
⇒ 3C + 23 = 53
⇒ 3C = 53 – 23 = 30
⇒ C = ₹ 10
∴ B = C + 8 = 10 + 8 = ₹ 18
A = C + 15 = 10 + 15 = ₹ 25
∴ A : B : C = 25 : 18 : 10
