Straight 10% commission or $250 per month plus 5% commission. Write an equation and solve so the plans both earn the same amount.

Question

A sales clerk has to choose between two salary options: Straight 10% commission or $250 per month plus 5% commission. Write an equation and solve so the plans both earn the same amount. 

Answer 1

if X be the total sales $ then 10% of X=10/100 X= X/10

 

with 5% commission earnings= 250 + 5/100 X

 

Thus, X/10= x/20 +250

.1 X- 0.05 X= 250

0.05 X= 250

x= 250/0.05= 5000 

 

Total sales must be $ 5000.