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 $8.5\%$.