Ball Hamilton
11/10/2023 · Senior High School

Find simple interest and total amount of ₹ 8250 at the rate 0 \( 16 \% \) per annum for \( 3 \frac{1}{2} \) years.

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To calculate the simple interest (SI) and the total amount (A) for a principal amount (P) of ₹ 8250 at an interest rate (R) of 16% per annum for a time period (T) of \( 3 \frac{1}{2} \) years, we can use the following formulas: 1. **Simple Interest (SI)**: \[ SI = \frac{P \times R \times T}{100} \] 2. **Total Amount (A)**: \[ A = P + SI \] ### Step 1: Convert the time period First, convert \( 3 \frac{1}{2} \) years into a decimal: \[ 3 \frac{1}{2} = 3 + \frac{1}{2} = 3 + 0.5 = 3.5 \text{ years} \] ### Step 2: Calculate Simple Interest Now, substitute the values into the SI formula: - \( P = 8250 \) - \( R = 16 \) - \( T = 3.5 \) \[ SI = \frac{8250 \times 16 \times 3.5}{100} \] Calculating the multiplication: \[ 8250 \times 16 = 132000 \] \[ 132000 \times 3.5 = 462000 \] Now, divide by 100: \[ SI = \frac{462000}{100} = 4620 \] ### Step 3: Calculate Total Amount Now, calculate the total amount: \[ A = P + SI = 8250 + 4620 = 12870 \] ### Final Results - **Simple Interest (SI)**: ₹ 4620 - **Total Amount (A)**: ₹ 12870 Thus, the simple interest is ₹ 4620 and the total amount is ₹ 12870.

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Simple interest is ₹ 4620 and total amount is ₹ 12870.
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