document.write( "Question 964077: If price of sugar increased by 25%, so that a man is can able to purchase 5 kg. less sugar in Rs. 500. Find
\n" ); document.write( "the original price of sugar per kg.? \n" ); document.write( "

Algebra.Com's Answer #589027 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+p+\"$ = the original price/ kg
\n" ); document.write( "Let $\"+k+\"$ = the original gk purchased
\n" ); document.write( "(1) $\"+500+=+p%2Ak+\"$
\n" ); document.write( "(2) $\"+500+=+%28+p+%2B+.25p+%29%2A%28+k+-+5+%29+\"$
\n" ); document.write( "------------------------------------
\n" ); document.write( "(2) $\"+500+=+1.25p%2A%28+k+-+5+%29+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+p+=+500%2Fk+\"$
\n" ); document.write( "By substitution:
\n" ); document.write( "(2) $\"+500+=+1.25%2A%28+500%2Fk+%29%2A%28+k+-+5+%29+\"$
\n" ); document.write( "(2) $\"+500+=+%28+625%2Fk+%29%2A%28+k+-+5+%29+\"$
\n" ); document.write( "(2) $\"+500+=+625+-+3125%2Fk+\"$
\n" ); document.write( "(2) $\"+500k+=+625k+-+3125+\"$
\n" ); document.write( "(2) $\"+125k+=+3125+\"$
\n" ); document.write( "(2) $\"+k+=+25+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+p+=+500%2Fk+\"$
\n" ); document.write( "(1) $\"+p+=+500%2F25+\"$
\n" ); document.write( "(1) $\"+p+=+20+\"$
\n" ); document.write( "the original price/kg was Rs 20
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+500+=+%28+p+%2B+.25p+%29%2A%28+k+-+5+%29+\"$
\n" ); document.write( "(2) $\"+500+=+%28+20+%2B+.25%2A20+%29%2A%28+25+-+5+%29+\"$
\n" ); document.write( "(2) $\"+500+=+25%2A20+\"$
\n" ); document.write( "(2) $\"+500+=+500+\"$
\n" ); document.write( "OK \n" ); document.write( "

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