A piece of clothing will lose $50 if it is sold at a 20% discount after a $200 reduction. if you sell it at a 60% discount, you'll break even. if you want to make 100% profit by selling this garment, how much should you add to the original price?
a. $90
b. $110
c. $130
d. $150
Let's assume the original price of the clothing is P.
After a $200 reduction, the price becomes P - $200.
If it is sold at a 20% discount, the price becomes (P - $200) * 0.8 = P - 0.8*$200.
This means that (P - $200) - (P - 0.8*$200) = $50, which simplifies to $200 - 0.8*$200 = $50.
Solving this equation, we get 0.2*$200 = $50, which simplifies to $40 = $50, which is not possible.
Now, let's consider selling the clothing at a 60% discount.
The price after a $200 reduction is P - $200.
If it is sold at a 60% discount, the price becomes (P - $200) * 0.4 = P - 0.4*$200.
This means that (P - $200) - (P - 0.4*$200) = $0, which simplifies to $200 - 0.4*$200 = $0.
Solving this equation, we get 0.6*$200 = $0, which is not possible.
Therefore, it is not possible to break even or make a 100% profit by selling this garment.