Explanation:

- To find the simple interest \( x \) for the first case, use the formula: $$ SI = \frac{{P \times R \times T}}{100} $$

- Principal \( (P) = 2800 \)

- Rate \( (R) = 10\% \)

- Time \( (T) = 3 \text{ years} \)

- $$ x = \frac{{2800 \times 10 \times 3}}{100} = 840 $$

- For the second scenario, you're given:

- Simple interest \( SI = 1736 \)

- Principal \( (P) = 6200 \)

- Rate \( (R) = 14\% \)

- Need to find time \( (y) \)

- $$ 1736 = \frac{{6200 \times 14 \times y}}{100} $$

- Rearrange to find \( y \): $$ y = \frac{{1736 \times 100}}{6200 \times 14} \approx 2 $$

- Finally, calculate the ratio \(\frac{x}{y}\):

- \(\frac{840}{2} = 420\)

- Option 4 (420) is correct.