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A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has
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- ₹ 60
- ₹ 65
- ₹ 75
- ₹ 45
Correct Option: B
A + B= 3 (B + C)
A + B + C = A + 30
B = 5 C
∴ A + B = 3 (B + C)
⇒ A + 5C = 18C ⇒ A = 13C
∴ A + B + C = A + 30
13C + 5C + C = 13C + 30
⇒ 6C = 30
⇒ C = 5
⇒ A = 13 × 5 = ₹ 65