A salesman was paid 5%commission on sales up to 1400naira and 3% commission for sales above 1400naira.find his total commission if he had a total sale of 400naira.

1 answer

To find the total commission for the salesman with sales of 400 naira, we need to follow these steps:

1. Determine the commission rate for sales up to 1400 naira.
2. Determine if any of the sales qualify for the lower commission rate for sales above 1400 naira.

Since the total sales of 400 naira are entirely within the first category (up to 1400 naira), we only need to use the 5% commission rate.

The commission calculation is as follows:
\[ \text{Total Sales} = 400 \text{ naira} \]
\[ \text{Commission Rate} = 5\% \]

First, convert the percentage to a decimal:
\[ 5\% = \frac{5}{100} = 0.05 \]

Now, calculate the commission:
\[ \text{Commission} = \text{Total Sales} \times \text{Commission Rate} \]
\[ \text{Commission} = 400 \text{ naira} \times 0.05 \]
\[ \text{Commission} = 20 \text{ naira} \]

So, the total commission the salesman earns for sales of 400 naira is 20 naira.