In what time (in years) will ₹5,000 fetch an interest of ₹1,000 at 10% per…

Simple Interest is calculated using the formula SI = (P × R × T)/100, where P is the principal, R is the annual rate of interest (in percent), and T is the time in years. To find the time when the interest, principal, and rate are known, the formula rearranges to T = (SI × 100)/(P × R).

1. Given values: Principal P = ₹5,000, Rate R = 10% per annum, Simple Interest SI = ₹1,000.

2. Rearrange the formula to solve for time: T = (SI × 100)/(P × R).

3. Substitute the given values: T = (1,000 × 100)/(5,000 × 10).

4. Simplify the numerator and denominator: T = 100,000/50,000.

5. Divide to get the time: T = 2.

Substituting T = 2 back into SI = (P × R × T)/100 gives SI = (5,000 × 10 × 2)/100 = 1,00,000/100 = ₹1,000, which equals the interest stated in the question, confirming the time is 2 years.