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
The problem asks to find the principal amount given the simple interest, rate, and time. Given: Simple Interest (SI) = 6500.52 rupees Rate (R) = 42.15\% per annum Time (T) = 3 years The formula for simple interest is: SI = (P × R × T)/(100) Where P is the Principal. Step 1: Rearrange the formula to solve for P. P = (SI × 100)/(R × T) Step 2: Substitute the given values into the formula. P = (6500.52 × 100)/(42.15 × 3) Step 3: Calculate the numerator. 6500.52 × 100 = 650052 Step 4: Calculate the denominator. 42.15 × 3 = 126.45 Step 5: Divide the numerator by the denominator to find P. P = (650052)/(126.45) P = 5140.822459... Step 6: Round the principal to two decimal places, as it represents currency. P ≈ 5140.82 The principal amount is: P = 5140.82 rupees Last free one today — make it count tomorrow, or type /upgrade for unlimited.