Question

As a salesperson at Roaring Waves Beach Supplies, Carissa receives a monthly base pay plus commission on all that she sells. If she sells $500 worth of merchandise in one month, she is paid $385. If she sells $1,000 of merchandise in one month, she is paid $470.

Find Carissa's salary when she sells $1,900 worth of merchandise. ...?

Answer 1

$623

Explanation:

Let us suppose that the

Earning = y

Fixed payment = c

Commission paid = m per unit

Case 1.

When 500 units are sold, Earning y = $385

Earning = Fixed Payment + Commission paid per unit * Number of units

385=c+m*500

385=c+500m ________(a)

Case 2.

When 1000 units are sold earning y = $470

Earning = c+m*1000

470=c+1000m _________(b)

Subtracting (a) from (b) we get

85=500m

`m=(85)/(500)\\=0.17`

Putting this value of m in (a)

`385=c+(85)/(500) * 500`

385=c+85

c=300

Hence the fixed payment is $300 and the commission given is $0.17 per unit

Case 3 :

Number of Units sold = 1900

Earning = 300+0.17*1900

Earning = 300+323

Earning = 623

Hence The earning will be $623

Answer 2

Carissa receives 17$ for each 100$ of merchandise she sells.This is on top of the traditional rate of 300 dollars a month.She will make 623$ for 1900$ worth of merchandise.