document.write( "Question 550377: A man bought a certain number of chairs for Rs 10,000.He kept one for his own use and sold the rest at the rate Rs 50 more than he gave for one chair.Besides getting his own chair for nothing,he made a profit of Rs 450.How many chairs did he buy?pls...help me. \n" ); document.write( "
Algebra.Com's Answer #358681 by mananth(16946)![]() ![]() You can put this solution on YOUR website! A man bought a certain number of chairs for Rs 10,000.He kept one for his own use and sold the rest at the rate Rs 50 more than he gave for one chair.Besides getting his own chair for nothing,he made a profit of Rs 450.How many chairs did he buy?pls...help me.\r \n" ); document.write( "\n" ); document.write( "number of chairs bought = x\r \n" ); document.write( "\n" ); document.write( "He sold x- 1 chairs\r \n" ); document.write( "\n" ); document.write( "CP of one chair = 10000/x\r \n" ); document.write( "\n" ); document.write( "SP= (10000/x) + 50\r \n" ); document.write( "\n" ); document.write( "SP of (x-1) chairs = \n" ); document.write( "\n" ); document.write( "SP-CP= profit\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply equation by x\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10000x+50x^2-10000-50x-10000x=450x\r \n" ); document.write( "\n" ); document.write( "50x^2-500x-10000=0 \n" ); document.write( "/50 \n" ); document.write( "x^2-10x-200=0\r \n" ); document.write( "\n" ); document.write( "x^2-20x+10x-200=0 \n" ); document.write( "x(x-20)+10(x-20)=0 \n" ); document.write( "(x-20)(x+10)=0 \n" ); document.write( "x= 20 which is positive. \n" ); document.write( "Number of chairs bought = 20 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |