To determine the interest earned on an investment using simple interest, we use the formula
Simple Interest (SI) = (Principal × Rate × Time) / 100.
Here, the Principal (P) is Rs. 10,000, the Rate (R) is 5% per annum, and the Time (T) is 2 years.
Plugging these values into the formula:
SI = (10,000 × 5 × 2) / 100
Calculate the result:
SI = (100,000) / 100 = Rs. 1,000
Therefore, the interest earned after 2 years is Rs. 1,000.
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is: