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
Hey khusioli, good to see you again. To find the rate of interest, we use the simple interest formula: I = P · R · T Where I is the Interest, P is the Principal, R is the Rate of interest (as a decimal), and T is the Time in years. We can rearrange this formula to solve for R: R = (I)/(P · T) a) Step 1: Identify the given values. P = Rs 4000 I = Rs 800 T = 2 yrs Step 2: Substitute the values into the formula for R. R = (800)/(4000 × 2) R = (800)/(8000) R = 0.1 Step 3: Convert the decimal rate to a percentage. R = 0.1 × 100\% = 10\% The rate of interest is 10\%. b) Step 1: Identify the given values. P = Rs 3000 I = Rs 1350 T = 3 yrs Step 2: Substitute the values into the formula for R. R = (1350)/(3000 × 3) R = (1350)/(9000) R = 0.15 Step 3: Convert the decimal rate to a percentage. R = 0.15 × 100\% = 15\% The rate of interest is 15\%. c) Step 1: Identify the given values. P = Rs 10000 I = Rs 4000 T = 4 yrs Step 2: Substitute the values into the formula for R. R = (4000)/(10000 × 4) R = (4000)/(40000) R = 0.1 Step 3: Convert the decimal rate to a percentage. R = 0.1 × 100\% = 10\% The rate of interest is 10\%. d) Step 1: Identify the given values. P = Rs 15000 I = Rs 7500 T = 5 yrs Step 2: Substitute the values into the formula for R. R = (7500)/(15000 × 5) R = (7500)/(75000) R = 0.1 Step 3: Convert the decimal rate to a percentage. R = 0.1 × 100\% = 10\% The rate of interest is 10\%. Send me the next one 📸