Question 1142010
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