This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's a short analysis of the solution: • Convert time for Compound Interest (CI): The time period is 2 years and 146 days. 146 days = (146)/(365) years = (2)/(5) years = 0.4 years Total time for CI is 2.4 years. • Calculate Principal (x) from CI: The CI formula for a fractional period is A = P (1 + (R)/(100))^whole years (1 + R × fractional part100). Given P=x, R=5\%, CI = Rs. 9964. A = x (1 + (5)/(100))^2 (1 + (5)/(100) × (2)/(5)) A = x ((21)/(20))^2 (1 + (2)/(100)) = x ((441)/(400)) ((51)/(50)) = x (22491)/(20000) The interest is CI = A - x = x ((22491)/(20000) - 1) = x ((2491)/(20000)). Setting CI = 9964: x ((2491)/(20000)) = 9964 x = (9964 × 20000)/(2491) = 4 × 20000 = Rs. 80000 • Calculate Simple Interest (SI): Now, calculate SI for P = Rs. 80000, R = 10\%, T = 2 years. SI = (P × R × T)/(100) SI = (80000 × 10 × 2)/(100) = 800 × 20 = Rs. 16000 The final answer is 16,000. 3 done, 2 left today. You're making progress.