Question

Part B A sales person earned 1375

Answer 1

Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.  

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

A) The amount of commission  = $575

B) The total sales amount  =  $20000

Step-by-step explanation:

Part A

Given:

Total amount earned =  $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2  = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= $\frac{5}{100} \times 5000$

= $0.05 \times 5000$

= $250 ------------------------------(2)

Finding commission 2:

=  7.5 % of (3000)

=$\frac{7.5}{100}\times 3000$

= $0.075 \times 3000$

= $225----------------------------------(3)

Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

Part B

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of  5000 + 7.5 % of (x -5000)

$1375 = 0.05 \times 5000 + 0.075 \times (x -5000)$

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

$x = \frac{1500}{0.075}$

x = 20000

The total sales amount  is $20000