Let's denote Sonali's monthly income by \( x \). According to the problem:
- She invests 15% of her income in insurance policies.
- She spends 55% of her income on shopping and household expenses.
- Her savings amount to Rs. 12,750.
This implies she spends 15% + 55% = 70% of her income. Thus, her savings constitute the remaining 30% of her income.
The equation to represent her savings is:
\[ 0.30x = 12,750 \]
To find \( x \), we solve for it as follows:
\[ x = \frac{12,750}{0.30} \]
\[ x = 42,500 \]
Therefore, Sonali’s monthly income is Rs. 42,500.