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A salesman's total monthly salary consists of a basic salary of 200 and a 2% commission on his monthly sales. In one month, his total salary was 560. Calculate his commission for that month and the sales he made for that month.

Mathematics

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Answers

2 parts
a

\360$

b

\18000$

Step-by-step solution

4 steps

Here's the solution for the problem:

The problem states that a salesman's total monthly salary consists of a basic salary of $200 and a 2% commission on his monthly sales. In one month, his total salary was $560.

Part a· 2 steps

Calculate his commission for that month.

  1. Identify the given values.

    Basic salary = $200 Total salary = $560

  2. Calculate the commission.

    The commission is the total salary minus the basic salary.

    Commission=Total Salary−Basic Salary\text{Commission} = \text{Total Salary} - \text{Basic Salary}

    Commission=$560−$200\text{Commission} = \$560 - \$200 Commission=$360\text{Commission} = \$360 The commission for that month is \boxed{\360}$.

Part b

\18000$

Calculate the sales he made for that month.

  1. Use the commission calculated in part (a) and the commission rate.

    Commission = $360 Commission rate = 2%

  2. Calculate the total sales.

    The commission is 2% of the total sales. Let SS be the total sales. 0.02×S=$3600.02 \times S = \$360 S=$3600.02S = \frac{\$360}{0.02} S=$18000S = \$18000 The sales he made for that month are \boxed{\18000}$.

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