Question

A salesperson has two job offers. Company A offers a weekly salary of $90 plus commission of 6% of sales. Company B offers a weekly salary of $180 plus commission of 3% of sales. What is the amount of sales above which Company A’s offer is the better of the two?

please show work!

Answer 1

\[(6x/100)+90>(3x/100)+180\]
\[3x/100>90\]
\[3x >9000\]
x>3000
3001 will make company A better of the two

Answer 2

above 3000$
first you have to notice the point at which the incomes from both sources become equal that is ..

say sale is x$
at company A he will recieve
90 + 6% of x ---- eq (i)

at company B he receives

180 + 3% of x ------eq(ii)

equating eq(i) and eq(ii)

x = 3000

hence above x=3000 he will have( 6% - 3% = 3%) of sales commision extra if he works with company A