Norman makes $15 commission for selling $200 in merchandise. He makes $37.50 commission for selling $500 in merchandise. Assuming that the variables are directly related and Norman wants to make $150 in commission, what is the total value of merchandise he needs to sell? $335.00 $612.50 $2,000.00 $5,000.00
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the statement:
Norman makes $15 commission for selling $200 in merchandise. He makes $37.50 commission for selling $500 in merchandise.
Determine the total value he needs to sell if wants to make a commission of $150.
Solution:
In order determine the total value that he needs to sell, we must first determine the percentage value of the commission. This can be found by dividing 15 with 200 or 37.50 by 500.
= 15/200
=0.075
Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.
= (100)(0.075)
= 7.5%
Now that we know the commission, /we imply needed to divide 150 by 0.075
= 150/0.075
= $2000
Final answer:
= $2000