The ratio of the bank balance of three brothers A, B and C is 10 : 12 : 5. B transfers Rs. 60,000 from his account to C's. The new ratio of the bank balances becomes 10 : 9 : 8. What is the bank balance of A (in Rs.)?
200000
Step 1 — Set up balances: A = \(10x\), B = \(12x\), C = \(5x\). After transfer: A = \(10x\), B = \(12x-60000\), C = \(5x+60000\).
Step 2 — Use new A:B ratio = 10 : 9:
\[\frac{10x}{12x-60000}=\frac{10}{9} \implies 9x=12x-60000 \implies x=20000\]
Therefore A's balance = \(10\times 20000=\mathbf{Rs.\,2{,}00{,}000}\).
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