document.write( "Question 886606: A trader sold 20 p.c of his stock at 10 p.c profit & 50 p.c of the remainder of his stock at 10 p.c. loss. What would be the rate of profit for sale of the remainder of his stock in order that the trader may make an overall profit of 5 p.c. over his entire stock ? \n" ); document.write( "
Algebra.Com's Answer #536015 by dkppathak(439)\"\" \"About 
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A trader sold 20 p.c of his stock at 10 p.c profit & 50 p.c of the remainder of his stock at 10 p.c. loss. What would be the rate of profit for sale of the remainder of his stock in order that the trader may make an overall profit of 5 p.c. over his entire stock ?
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\n" ); document.write( "let the total stocks is X
\n" ); document.write( "20%of stock (.2X)
\n" ); document.write( "sell price of this stocks is .2x multiplied by 1.1= .22x
\n" ); document.write( "remaining stocks is .8x
\n" ); document.write( "50% of .8x = 0.4X sell at 10% loss
\n" ); document.write( "sell price of this stocks = .4x multiplied by .9 = 0.36x
\n" ); document.write( "total sell price on both transaction = .22x +.36X = .58x
\n" ); document.write( "again remainder stocks =0.4x
\n" ); document.write( "overall profit 5% on X =1.05X
\n" ); document.write( "sell price of reaming = 1.05 x-.58x = 0.47X
\n" ); document.write( "profit % = 0.47X- 0.40x/.4x
\n" ); document.write( " =.07 X100/.4 =17.5 %
\n" ); document.write( "Answer he should sale reaming .4x stock at the profit rate of 17.5 %\r
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