Let Ravi's total monthly savings be Rs \( x \). He invests 50% of his monthly savings in fixed deposits, which is \( 0.5x \).
The remaining savings are \( x - 0.5x = 0.5x \).
Ravi invests 30% of the remaining savings in stocks, which is \( 0.3 \times 0.5x = 0.15x \).
The rest of the savings go into his savings bank account, which is \( 0.5x - 0.15x = 0.35x \).
The total amount deposited by him in the bank is the sum of the fixed deposits and the savings bank account:
\( 0.5x + 0.35x = 0.85x \).
It is given that this total is Rs 59500, so:
\( 0.85x = 59500 \).
To find \( x \), we solve:
\( x = \frac{59500}{0.85} \).
Calculating this gives:
\( x = 70000 \).
Therefore, Ravi's total monthly savings is Rs 70000.