Question

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid $1,600. Two months ago, she had $12,000 in sales and was paid $1,400. This month she sold $11,000 worth of goods. How much will she be paid? $550 $855 $1,100 $1,350

Answer 1

$1350

Explanation:

A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $26,000 worth of food and was paid $11,600 two months ago she had $12,000 in sales and was paid $1,4000 this month she sold $1,000 worth of goods how much will she be paid $1350

Answer 2

She will be paid $1,350

Explanation:

Let the flat rate be $x and the fixed percentage be y% = y/100

Thus, her payment per month will be

x + (y% of monthly amount) = Payment

For the 1st month, her pay calculations will look like this;

x + y/100 *(16,000) = 1,600

x + 160y = 1600 •••••••••(i)

For the month before the last, her calculations would be;

x + y/100(12,000) = 1,400

x + 120y = 1,400 ••••••••(ii)

It is these two equations that we now solve simultaneously.

We can directly get this by subtracting equation ii from i

That would be;

(x-x) + (160y-120y) = (1600-1400)

40y = 200

y = 200/40

y = 5%

To get x, we can substitute in any of the equations

Let us use equation ii

x + 120(5) = 1,400

x + 600 = 1,400

x = 1,400-600

x = $800

Thus, for $11,000 , the equation will be as follows;

x + (y% of amount) = payment

= $800 + (5/100 * 11,000) = $800 + $550 = $1,350