Which of the following discounts would save you more money?

Question

There are two clearance racks and the one rack has a flat 50% discout from the original price, and the second rack has an additional 30% discount from the already 20% discounted items  if you were to buy items with equal original prices, which would be the better buy? 

I need to answer this in an discussion question. Could you help me? 

Answer 1

Original price of item =x

 

first rack discount will be 50 %=x*50%=x*0.5=0.5x

 

price of item after discount= x-0.5x=x(1-0.5)=0.5x

 

 

second rack item discount

 

already 20% discounted=x*20%=x*0.20=0.2x

 

price for item after 20% discount =x-0.2x=x(1-0.2)=0.8x

 

30% on 0.8x =0.8x*0.30=0.24 x

 

price for item after 30% discount=0.8x -0.24x=x(0.8-0.24)x=0.56x

 

So flat 50% would be better buy