Surekha did 24% of the expense of her monthly income on grocery items, 16% on rent, and 55% of the remaining on children's education and other expense. If she saves ₹5,940, then find out the expense on rent.

Let Surekha’s monthly income be $$I$$ rupees.

She spends 24% of her income on grocery items:
$$\text{Grocery} = 24\% \text{ of } I = 0.24I$$

She spends 16% of her income on rent:
$$\text{Rent} = 16\% \text{ of } I = 0.16I$$

Total percentage spent on grocery and rent together is
$$24\% + 16\% = 40\%$$
Hence the amount left after these two expenses is
$$I - 0.40I = 0.60I$$

Out of this remaining amount, she spends 55% on children's education and other expenses:
$$\text{Education + Other} = 55\% \text{ of } 0.60I = 0.55 \times 0.60I = 0.33I$$

The balance of the remaining 45% becomes her savings:
$$\text{Savings} = 45\% \text{ of } 0.60I = 0.45 \times 0.60I = 0.27I$$ $$-(1)$$

Given that the actual savings equal ₹5,940, substitute this value into $$(1)$$:
$$0.27I = 5940$$

Solving for $$I$$:
$$I = \frac{5940}{0.27} = 22000$$

The expense on rent is 16% of the income:
$$\text{Rent} = 0.16I = 0.16 \times 22000 = 3520$$

Therefore, the expense on rent is ₹3,520.

Option D which is: 3,520