The price of a suit is increased by 20% and then reduced by 10%. If the final selling price is $194.40, what was the original price of the suit?

X=original price

increased by 20%

100+20=120

increased by 20% means times 1.20

1.20x is new price

then reduced by 10%

100-10=90

1.20x times 0.90=final price

1.08x=final pricie

given final price=194.40

1.08x=194.40

divide both sides by 1.08

x=180

the original price was $180