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
You're on a roll — 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 = 5140.822459469996 Step 6: Round the principal to two decimal places, as it represents currency. P ≈ 5140.82 The principal amount is: P = 5140.82 rupees What's next? 📸