document.write( "Question 761446: A shopkeeper sells an article so as to make 25% on the cost price. If he had sold it for 50 p. more, he would have made 30% profit. What is the selling price? \n" ); document.write( "

Algebra.Com's Answer #463226 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+c+\"$ = the cost price
\n" ); document.write( "Let $\"+s+\"$ = the selling price
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+s+=+c+%2B+.25c+\"$
\n" ); document.write( "(2) $\"+c+%2B+.3c+=+s+%2B+50+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+c+%2B+.3c+=+c+%2B+.25c+%2B+50+\"$
\n" ); document.write( "(2) $\"+1.3c+=+1.25c+%2B+50+\"$
\n" ); document.write( "(2) $\"+.05c+=+50+\"$
\n" ); document.write( "(2) $\"+5c+=+5000+\"$
\n" ); document.write( "(2) $\"+c+=+1000+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+s+=+c+%2B+.25c+\"$
\n" ); document.write( "(1) $\"+s+=+1.25c+\"$
\n" ); document.write( "(1) $\"+s+=+1.25%2A1000+\"$
\n" ); document.write( "(1) $\"+s+=+1250+\"$
\n" ); document.write( "The selling price is $1,250
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+c+%2B+.3c+=+s+%2B+50+\"$
\n" ); document.write( "(2) $\"+1.3%2A1000+=+1250+%2B+50+\"$
\n" ); document.write( "(2) $\"+1300+=+1300+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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