Question

A car salesman receives $50 for each car sale plus 2% of the purchase price. How much must a car sell for in order for the salesperson to earn at least $500?

Answer 1

We simply take the amount he needs no earn ($500) subtract what he gets for each sale ($50) and divide with the percentage he gets (2% = 0.02)

500-50 = 450
450/0.02 = 22500

The salesperson has to sell a car for $22500 in order to earn $500 himself

Answer 2

Car must be sell for sales price of at least of $22,500.

Explanation:

Given :Salesman receives $50 for each car sale plus 2% of the purchase price. That can mathematically be represented as:

`\$50+2\%\text{Sales price of the car}=T`

Money received by the salesperson =T

Let the sale price of the car be P

`\$50+2\%\text{Sales price of the car}\geq \$500`

`\$50+(2)/(100)* P=\$500`

`P=\$22,500`

P ≥ $22,500

Car must be sell for sales price of at least of $22,500.