document.write( "Question 640946: Ahmed buys a plot of land for Rs 96000.He sells 2/5 of it at loss of 6%.At what gain per cent should he sell the remaining part of the plot to gain 10% on the whole? \n" ); document.write( "

Algebra.Com's Answer #403492 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+p+\"$ = the selling price of the 2/5
\n" ); document.write( "given:
\n" ); document.write( " $\"+p+=+%282%2F5%29%2A96000+-+.06%2A%282%2F5%29%2A96000+\"$
\n" ); document.write( " $\"+p+=+%282%2F5%29%2A96000%2A%28+1+-+.06+%29+\"$
\n" ); document.write( " $\"+p+=++38400%2A.94+\"$
\n" ); document.write( " $\"+p+=+36096+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Let $\"+g+\"$ = the percentage gain to sell the remaining 3/5 of the land
\n" ); document.write( " $\"+36096+%2B+%28+1+%2B+g+%29%2A%28+%283%2F5%29%2A96000+%29+=+1.1%2A96000+\"$
\n" ); document.write( " $\"+36096+%2B+%28+1+%2B+g+%29%2A57600+=+105600+\"$
\n" ); document.write( " $\"+%28+1+%2B+g+%29%2A57600+=+105600+-+36096+\"$
\n" ); document.write( " $\"+57600g+=+69504+-+57600+\"$
\n" ); document.write( " $\"+57600g+=+11904+\"$
\n" ); document.write( " $\"+g+=+11904+%2F+57600+\"$
\n" ); document.write( " $\"+g+=+.2067+\"$
\n" ); document.write( "He must sell the remaining part at 20.67 % gain to
\n" ); document.write( "make 10% on the whole
\n" ); document.write( "check:
\n" ); document.write( " $\"+36096+%2B+1.2067%2A57600+=+1.1%2A96000+\"$
\n" ); document.write( " $\"+36096+%2B+69505.92+=+105600+\"$
\n" ); document.write( " $\"+105601.92+=+105600+\"$
\n" ); document.write( "OK -error due to rounding off, I think \n" ); document.write( "

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