The difference between compound and simple interest on a certain sum of money at the interest rate of 10% per annum for $1\frac{1}{2}$ years is 183, when the interest is compounded semi annually. Find the sum of money -

₹24,000

CI - SI = \(\frac{1261}{8000}\)P - \(\frac{3}{20}\)P = 183

\(\frac{61}{8000}\)P = 183

P = \(\frac{8000}{61}\) × 183

= 24000

The correct answer is Option (2) → ₹24,000