document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208330>Question 1208330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "If Bob sells a TV at a discount of 15% of the marked price he will make a profit of $135. If he sells at a discount of 25% of marked price he makes a loss of $65. What is the cost price of the TV.  </SPAN>\n" );
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document.write( "x = cost price = amount Bob paid for the TV<BR>\n" );
document.write( "y = marked price = amount that Bob's customer pays if no discounts are applied\r<BR>\n" );
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document.write( "0.15y = amount the customer saves if 15% discount is applied<BR>\n" );
document.write( "y - 0.15y = 0.85y = amount the customer pays after the 15% discount<BR>\n" );
document.write( "0.85y-x = profit Bob makes = 135<BR>\n" );
document.write( "0.85y-x = 135<BR>\n" );
document.write( "<font color=blue>x = 0.85y-135</font><BR>\n" );
document.write( "We'll use this later.\r<BR>\n" );
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document.write( "0.25y = amount the customer saves if 25% discount is applied<BR>\n" );
document.write( "y - 0.25y = 0.75y = amount the customer pays after the 25% discount<BR>\n" );
document.write( "0.75y-x = profit Bob makes = -65<BR>\n" );
document.write( "0.75y-x = -65<BR>\n" );
document.write( "0.75y-(<font color=blue>x</font>) = -65<BR>\n" );
document.write( "0.75y-(<font color=blue>0.85y-135</font>) = -65 ....... plug in <font color=blue>x = 0.85y-135</font><BR>\n" );
document.write( "0.75y-0.85y+135 = -65<BR>\n" );
document.write( "-0.10y+135 = -65<BR>\n" );
document.write( "-0.10y = -65-135<BR>\n" );
document.write( "-0.10y = -200<BR>\n" );
document.write( "y = -200/(-0.10)<BR>\n" );
document.write( "y = 2000<BR>\n" );
document.write( "This is the amount the customer would pay if no discounts are applied.\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "x = 0.85y-135<BR>\n" );
document.write( "x = 0.85*2000-135<BR>\n" );
document.write( "x = <font color=red>1565 dollars</font> is the cost price of the TV.<BR>\n" );
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