document.write( "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. \n" ); document.write( "

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A store has reduced a price by $20\%$.
\n" ); document.write( "the discounted price = .8 of the original price
\n" ); document.write( " How large must the next discount be so the new price will be half of the original price?
\n" ); document.write( " Express your answer as a percent to the nearest tenth.
\n" ); document.write( ":
\n" ); document.write( "let a = the original price
\n" ); document.write( "let p = the decimal equiv of per cent to obtain half the original price
\n" ); document.write( "p(.8a) = .5a
\n" ); document.write( ".8ap = .5a
\n" ); document.write( "divide both sides by a
\n" ); document.write( ".8a .5
\n" ); document.write( "a = .5/.8
\n" ); document.write( "a = .625 which is 62.5% is the next discount
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check using $100 as the original price: .625(100-(.2*100)) = 50
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