In what time (in years) will ₹5,000 fetch an interest of ₹800 at 8% per year…

Simple interest relates principal, rate and time through the formula SI = (P × R × T) / 100, where P is the principal amount, R is the annual rate of interest (in percent), and T is the time in years. This formula gives the total interest earned when interest is calculated only on the original principal every year.

1. Given values: Principal P = ₹5,000, Rate R = 8% per annum, Simple Interest SI = ₹800.

2. Substitute into the formula: 800 = (5000 × 8 × T) / 100.

3. Simplify the constant factor: (5000 × 8) / 100 = 400, so the equation becomes 800 = 400 × T.

4. Solve for T by dividing both sides by 400: T = 800 / 400 = 2.

Cross-check by substituting T = 2 back into the formula: SI = (5000 × 8 × 2) / 100 = 80000 / 100 = ₹800, which matches the given interest, confirming the value of T.

Therefore, the time required is 2 years.