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When hired at a new job selling jewelry, you are given two pay options:
Option A: Base salary of $15,000 a year, with a commission of 8% of your sales
Option B: Base salary of $20,000 a year, with a commission of 3% of your sales
In order for option A to produce a larger income, you would need sell at least $ of jewelry each year.
I don't know what you are doing wrong because you don't tell me what you did in the first place ;-)
Option A: Base salary = $15000 + s * 0.08 , (plus 8% of your annual sales s)
Option B: Base salary = $20000 + s * 0.03 , (plus 3% of your annual sales)
So, for Option A to produce more income than Option B, you'll have to sell s bucks worth of jewelry: TO find the value of s it' ll suffice to solve the equation
15000 + s * 0.08 = 20000 + s * 0.03.
For all values of s greater than this you are in the range of the inequality
15000 + s * 0.08 > 20000 + s * 0.03
(Just in case inequalities bother you more than a decent equation.)
s * 0.08 - s * 0.03 = 20000 - 15000
s ( 0.08 - 0.03 ) = 5000
s * 0.05 = 5000
s = 5000 / 0.05
s = 100000
Now, 8% of 100000 = 8000
Base salary (option A) 15000 + 8000 = $23000 would then be your annual income.
If you succeed in selling more than $100000 worth of stuff then Option A is better for you. If not, it isn't.
