A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then interest is Rs 482 more. Find the sum.

Explanation

To solve the problem, we need to find the principal amount (P) given the conditions of the compound interest. Let's break down the solution step by step.

### Step 1: Define the Variables
Let the principal amount be \( P \) (or \( x \) as used in the transcript). The rate of interest is 20% per annum, and the time period is 2 years.

### Step 2: Calculate Compound Interest Compounded Annually
When the interest is compounded annually, the formula for the amount \( A \) is:
\[
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