SOLUTION: A store has reduced a price by $20\%$. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tent
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-> SOLUTION: A store has reduced a price by $20\%$. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tent
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Question 1142010: A store has reduced a price by $20\%$. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A store has reduced a price by $20\%$.
the discounted price = .8 of the original price
How large must the next discount be so the new price will be half of the original price?
Express your answer as a percent to the nearest tenth.
:
let a = the original price
let p = the decimal equiv of per cent to obtain half the original price
p(.8a) = .5a
.8ap = .5a
divide both sides by a
.8a .5
a = .5/.8
a = .625 which is 62.5% is the next discount
:
:
Check using $100 as the original price: .625(100-(.2*100)) = 50
