Subjects finance

Interest Commission

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Interest Commission


1) Problem 1: Calculate the simple interest earned on a savings deposit. Given: - Principal $P = 17800$ - Rate $r = 5.5\%$ per annum - Time $t = 3$ years Asked: How much interest will the savings deposit earn? Solution: 1. Use the formula for simple interest: $$ I = P \times \frac{r}{100} \times t $$ 2. Substitute the values: $$ I = 17800 \times \frac{5.5}{100} \times 3 $$ 3. Calculate step-by-step: $$ \frac{5.5}{100} = 0.055 $$ $$ I = 17800 \times 0.055 \times 3 $$ $$ I = 17800 \times 0.165 $$ $$ I = 2937 $$ Final Answer: The interest earned after 3 years is $2937$. 2) Problem 2: Find the rate of commission given commission earned and total amount sold. Given: - Commission earned $C = 637.5$ - Total sales amount $S = 7500$ Asked: What is the rate of commission (percentage)? Solution: 1. The formula for commission rate is: $$ \text{Rate} = \left( \frac{C}{S} \right) \times 100\% $$ 2. Substitute the values: $$ \text{Rate} = \left( \frac{637.5}{7500} \right) \times 100\% $$ 3. Calculate the fraction: $$ \frac{637.5}{7500} = 0.085 $$ 4. Multiply by 100: $$ 0.085 \times 100\% = 8.5\% $$ Final Answer: Jerry's rate of commission is $8.5\%$.