Explanation:

- Step 1: Calculate each person's work rate.

- Khushi does \( \frac{1}{4} \) of work in 3 days, so she completes the entire work in 12 days.

- Rashmi does \( \frac{1}{2} \) of work in 7 days, so she completes the entire work in 14 days.

- Deepa does \( \frac{1}{8} \) of work in 2 days, so she completes the entire work in 16 days.

- Step 2: Determine the combined work rate.

- Khushi's 1-day work: \( \frac{1}{12} \)

- Rashmi's 1-day work: \( \frac{1}{14} \)

- Deepa's 1-day work: \( \frac{1}{16} \)

- Combined work for one day: \( \frac{1}{12} + \frac{1}{14} + \frac{1}{16} \)

- Simplify: \( \frac{56 + 48 + 42}{672} = \frac{146}{672} = \frac{73}{336} \) of work.

- Step 3: Calculate total work days and Rashmi's share in payment.

- Total work completed in \( \frac{336}{73} \) days.

- Rashmi's share of work completed: \( \frac{1}{14} \times \frac{336}{73} = \frac{24}{73} \)

- Rashmi's payment: \( \frac{24}{73} \times 8030 \approx \text{Rs. 2,640} \)

- Therefore, Rashmi’s share is Option 1: Rs. 2,640.