document.write( "Question 741195: On selling a chair at 7% loss and a table at 17% gain, a man gains Rs.296. If he sells the chair at 7% gain and the table at 12% gain, then he gains Rs.400. The actual price of the table is: (Ans.: Rs. 2400) \n" ); document.write( "
Algebra.Com's Answer #451902 by mananth(16946)![]() ![]() You can put this solution on YOUR website! chair cost = x \n" ); document.write( "table cost = y\r \n" ); document.write( "\n" ); document.write( "x= cost of chair \n" ); document.write( "y= cost of table \n" ); document.write( " \n" ); document.write( "-0.07 x + 0.17 y = 296.00 .............1 \n" ); document.write( "Total value \n" ); document.write( "0.07 x 0.12 y = 400.00 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by -0.12 \n" ); document.write( "Multiply (2) by 0.17 \n" ); document.write( "0.01 x -0.02 y = -35.52 \n" ); document.write( "0.01 x + 0.02 y = 68.00 \n" ); document.write( "Add the two equations \n" ); document.write( "0.02 x = 32.48 \n" ); document.write( "/ 0.02 \n" ); document.write( "x = 1600.00 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "-0.07 x + 0.17 y = 296.00 \n" ); document.write( "-112.00 + 0.17 y = 296.00 \n" ); document.write( " 0.17 y = 296.00 + 112.00 \n" ); document.write( " 0.17 y = 408.00 \n" ); document.write( " y = 2400.00 \n" ); document.write( "x= 1600.00 cost of chair \n" ); document.write( "y= 2400.00 cost of table \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |