Let Ravi’s total monthly saving be ₹ $x.$
- Ravi’s Invested in fixed deposits $ = \frac{50}{100}\times x = \frac{x}{2} $
- Ravi’s rest savings $ = x- \frac{x}{2} = \frac{x}{2}$
- Ravi Invested in stocks $ = \frac{30}{100}\times\frac{x}{2} = \frac{3x}{20}$
- Ravi’s saving bank account $ = \left(\frac{x}{2} – \frac{3x}{20}\right) = \frac{7x}{20}$
Total amount deposited by him in the bank (for the savings account and the fixed deposits) $ = \frac{7x}{20} + \frac{x}{2}$
$\Rightarrow \frac{17x}{20} = 59500$
$\Rightarrow \boxed{ x = ₹\;70000}.$
$\textbf{Short Method:}$ Let Ravi’s total monthly saving be ₹ $100.$
- Ravi’s Invested in fixed deposits $ = \frac{50}{100}\times 100 = 50 $
- Ravi’s rest savings $ = 100-50 = 50$
- Ravi Invested in stocks $ = \frac{30}{100}\times 50 = 15$
- Ravi’s saving bank account $ = 50-15 = 35$
Total amount deposited by him in the bank (for the savings account and fixed deposits) $ = 35 + 50$
- $85 \longrightarrow 59500$
- $100 \longrightarrow \dfrac{59500}{85} \times 100 = ₹\;70000.$
Correct Answer $:\text{D}$