Passage

Directions : Study the following table to answer the given questions. Percentage of Marks Obtained by Seven Students in Six Subjects

Find the amount on which the difference of simple interest and compound interest compounded half - yearly will be Rs.244 at the rate of 10% in 1(1/2) years?

For simple interest: SI = P × R × T = P × 0.10 × 1.5 = 0.15P. Amount = P + 0.15P = 1.15P. For compound interest compounded half-yearly: rate = 5% per half-year, time = 3 half-years. Amount = P(1 + 0.05)³ = P(1.05)³ = 1.157625P. Difference = 1.157625P - 1.15P = 0.007625P. Given difference is Rs. 244, so 0.007625P = 244, P = 244/0.007625 ≈ Rs. 32000.