If a T-shirt is sold for $40, 20% is lost. What is the percentage gain or loss if it is sold for $45?

Question

This is a math word problem

Answer 1

Hi, Muhammad.

 

Okay, so if $40 is a 20% loss, then that means that $40 is 80% of the cost(X)

 

 

So, to find the cost, 

.80X = 40

X = 50

Therefore, the cost is $50

 

So, now we need to know what gain/loss is a sales price of $45. Let A = percent

 

50A = 45

A = .90 = 90% 

So, since $45 is 90% of $50, it is a 10% loss.