Answer: 18%
Step-by-step explanation:
Assume sales is $100.
Profit is 15% of sales so profit is:
= 15% * 100
= $15
Cost is 50%:
= 50% * 100
= $50
If costs were reduced to 47%, it would become:
= 47% * 100
= $47
This means that $3 has been freed up.
This $3 will go to the profit because the other costs are not dependent on production and so are considered fixed.
With $3 going to profit, the profit becomes:
= 3 + 15
= $18
Profit percentage:
= 18 / 100
= 18%