From the monthly income, A spends 24% on household expenses, 16% on entertainment, 12% on education and saves the rest. Ifsavings are ₹ 3,288, the monthly income of A is:

Total percentage spent on household expenses, entertainment, and education is $$24\% + 16\% + 12\% = 52\%$$.

Therefore, the percentage of income left as savings is $$100\% - 52\% = 48\%$$.

Let the monthly income be $$x$$ rupees. Then $$48\%$$ of $$x$$ equals the given savings:

$$0.48x = 3288$$ $$-(1)$$

To find $$x$$, divide both sides of $$(1)$$ by $$0.48$$:

$$x = \frac{3288}{0.48}$$

Rewrite the denominator as a fraction to simplify:

$$0.48 = \frac{48}{100} \Rightarrow x = 3288 \times \frac{100}{48}$$

Compute the product:

$$x = \frac{328800}{48}$$

Divide numerator by denominator:

$$48 \times 6850 = 328800 \quad\Rightarrow\quad x = 6850$$

Hence, A’s monthly income is ₹ 6,850.

Option D which is: ₹ 6,850