Question

Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month. • Kyle’s total sales for the month of January were $15,000, and his total earnings for that month were $2,550. • Kyle’s total sales for the month of February were $25,000, and his total earnings for that month were $3,050. What is Kyle’s fixed monthly salary in dollars?

Answer 1

Kyle’s fixed monthly salary in dollars is $1800

Explanation:

let a be the fixed monthly salary

let b% represent the fixed percentage of sales

a+(b%*15000)=2550

a+(b%*25000)=3050

a+(b/100*15000)=2550

a+150b=2550

a+(b/100*25000)=3050

a+250b=3050

now we have

a+150b=2550

a+250b=3050

let subtract a+150b=2550 from a+250b=3050

100b=500

b=500/100=5%

then a+(5%*15000)=2550

a+750=2550

a=2550-750=$1800