document.write( "Question 1136508: Zuzu sold his dining table set at a loss of 20% .If she had sold it for $800 more , he would have received a profit of 5% .Find the cost price. \n" ); document.write( "

Algebra.Com's Answer #754267 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " Let me show you a shorter way to solve the problem and to present the solution.\r
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document.write( "Let x be the original cost of the table.\r\n" );
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document.write( "Then Zuzu sold it at the price (1-0.2)*x = 0.8x.\r\n" );
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document.write( "In the second (hypothetical) case Zuzu would sold it at the price (1+0.5)x = 1.05x.\r\n" );
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document.write( "The problem says that\r\n" );
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document.write( "    0.8x + 800 = 1.05x.\r\n" );
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document.write( "Now you solve this equation in ONE LINE\r\n" );
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document.write( "    800 = 1.05x - 0.8x  ====>  800 = 0.25x  ====>  x =  = 3200.    ANSWER\r\n" );
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