document.write( "Question 1009269: Suppose that a bookstore buys a textbook from the publisher for $80. At what price should the bookstore mark the textbook so that it may be offered at a discount of 10% but still give the bookstore a 35% profit on the $80 investment? \n" ); document.write( "

Algebra.Com's Answer #624801 by LinnW(1048) $\"\"$ $\"About$

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To obtain the desired 35% profit,
\n" ); document.write( "the book needs to sell for $80 + 35% * $80
\n" ); document.write( "Our target price for the sale is 80 + 0.35*80
\n" ); document.write( "= 80 + 28
\n" ); document.write( "=$108
\n" ); document.write( "We need the original price of the book
\n" ); document.write( "to be enough so that 10% off of that
\n" ); document.write( "price gives us $108
\n" ); document.write( "Set P = the original price
\n" ); document.write( "The original price minus 10% of the original price must equal $108
\n" ); document.write( "P - 10% * P = 108
\n" ); document.write( "P - 0.10P = 108
\n" ); document.write( "0.90P = 108
\n" ); document.write( "Divide each side by 0.90
\n" ); document.write( "P = 108/0.90
\n" ); document.write( "P = 120
\n" ); document.write( "So the books original price needs to be $120
\n" ); document.write( " \n" ); document.write( "

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