document.write( "Question 556175: \"By selling a shirt for Rs 135 ,a shopkeeper losses 10%. How much percent would he gain or loss by setting it for Rs 177? \" \n" ); document.write( "
Algebra.Com's Answer #362059 by Theo(13342)\"\" \"About 
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he sells it for 135 and loses 10%
\n" ); document.write( "let c = the cost.
\n" ); document.write( "let s = selling price.
\n" ); document.write( "let p = profit.
\n" ); document.write( "the formula for profit is:
\n" ); document.write( "p = s - c
\n" ); document.write( "the formula for profit margin is:
\n" ); document.write( "p% = (s-c)/c * 100%
\n" ); document.write( "if he sells the shirt at 135, then the profit margin equation becomes:
\n" ); document.write( "-10% = (135-c)/c*100%
\n" ); document.write( "divide both sides of the equation by 100% to get:
\n" ); document.write( "-.10 = (135-c)/c
\n" ); document.write( "multiply both sides of the equation by c to get:
\n" ); document.write( "-.10*c = 135 - c
\n" ); document.write( "add c to both sides of the equation to get:
\n" ); document.write( "c - .10*c = 135
\n" ); document.write( "combine like terms to get:
\n" ); document.write( ".9*c = 135
\n" ); document.write( "divide both sides of the equation by .9 to get:
\n" ); document.write( "c = 135/.9 = 150.
\n" ); document.write( "the shirt cost him 150.
\n" ); document.write( "he sold it for 135.
\n" ); document.write( "he took a loss of 15.
\n" ); document.write( "15/150 = 10% loss.
\n" ); document.write( "it all checks out.
\n" ); document.write( "now he sells the shirt for 177.
\n" ); document.write( "the cost is 150.
\n" ); document.write( "the profit is s - c = 177 - 150 = 27
\n" ); document.write( "the profit margin is p/c = 27/150 = .18 * 100% = 18%. \n" ); document.write( "
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