document.write( "Question 763968: A merchant has three baskets full of oranges. he sells one basket at a loss percentage of 10 and other two baskets at an equal profit. if he makes an overall profit of 2% then what was the percentage of profit he made on each baskets. \n" ); document.write( "

Algebra.Com's Answer #465132 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+c+\"$ = the merchant\"s ( cost ) / ( basket )
\n" ); document.write( "Let $\"+p+\"$ = profit on 2nd and 3rd baskets
\n" ); document.write( " $\"+c+-+.1c+=+.9c+\"$ = selling price for 1st basket
\n" ); document.write( " $\"+c+%2B+p+\"$ = selling price for 2nd and 3rd baskets
\n" ); document.write( " $\"+.9c+%2B+2%2A%28+c+%2B+p+%29+=+3c+%2B+.02%2A3c+\"$
\n" ); document.write( " $\"+.9c+%2B+2c+%2B+2p+=+3c+%2B+.06c+\"$
\n" ); document.write( " $\"+2p+=+3.06c+-+2.9c+\"$
\n" ); document.write( " $\"+2p+=+.16c+\"$
\n" ); document.write( " $\"+p+=+.08c+\"$
\n" ); document.write( "1st basket: 10% loss
\n" ); document.write( "2nd basket: 8% profit
\n" ); document.write( "3rd basket: 8% profit
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "suppose each basket costs $10
\n" ); document.write( "selling price 1st basket = $\"+10+-+.1%2A10+=+9+\"$
\n" ); document.write( "selling price 2nd basket = $\"+10+%2B+.08%2A10+=+10.8+\"$
\n" ); document.write( "selling price 3rd basket = $\"+10+%2B+.08%2A10+=+10.8+\"$
\n" ); document.write( " $\"+9+%2B+2%2A10.8+=+30.6+\"$
\n" ); document.write( " $\"+30.6+%2F+30+=+1.02+\"$
\n" ); document.write( "This is a 2% profit
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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