document.write( "Question 1205124: A woman sells 7/10 of her stock of cutlery at a profit of 30%. The remaining stock is sold at a loss of 8%. Find the percentage profit on the sale of the whole stock. \n" ); document.write( "

Algebra.Com's Answer #841763 by ikleyn(52855) $\"\"$ $\"About$

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\n" ); document.write( "A woman sells 7/10 of her stock of cutlery at a profit of 30%.
\n" ); document.write( "The remaining stock is sold at a loss of 8%.
\n" ); document.write( "Find the percentage profit on the sale of the whole stock.
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document.write( "Let x is her bying cost.\r\n" );
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document.write( "For 7/10 of her stock the woman got  0.7*(1+0.3)x = 0.7*1.3x = 0.91x.\r\n" );
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document.write( "For remaining 3/10 of her stock the woman got  0.3*(1-0.08)x = 0.3*0.92x = 0.276x.\r\n" );
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document.write( "In total, the woman got  0.91x + 0.276x = 1.186x.\r\n" );
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document.write( "Her percentage profit is 18.6% of the whole stock.    ANSWER\r\n" );
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