document.write( "Question 715032: A table and two chairs together cost $400. If by selling the chairs at 10% loss and the table at 10% profit, a total of 5% profit is made. What is the cost price of a chair?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #439184 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A table and two chairs together cost $400.
\n" ); document.write( " If by selling the chairs at 10% loss and the table at 10% profit, a total of 5% profit is made.
\n" ); document.write( " What is the cost price of a chair?
\n" ); document.write( ":
\n" ); document.write( "Let c = cost of 1 chair
\n" ); document.write( "then
\n" ); document.write( "2c = cost of 2 chairs
\n" ); document.write( "and
\n" ); document.write( "(400-2c) = cost of the table
\n" ); document.write( ":
\n" ); document.write( "Find 5% of $400 = $20, the profit
\n" ); document.write( ":
\n" ); document.write( "Table profit - chair loss = $20
\n" ); document.write( ".10(400-2c) - .10(2c) = 20
\n" ); document.write( "40 - .2c - .2c = 20
\n" ); document.write( "-.4c = 20 - 40
\n" ); document.write( "-.4c = -20
\n" ); document.write( "c = -20/-.4
\n" ); document.write( "c = + $50 for each chair
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out
\n" ); document.write( "Table cost 400 - 2(50) = $300
\n" ); document.write( ":
\n" ); document.write( "Table profit: .10(300) = 30
\n" ); document.write( "Chair loss: -.10(2*50) = -10
\n" ); document.write( "----------------------------
\n" ); document.write( "The total profit = $20 which is 5% of $400
\n" ); document.write( " \n" ); document.write( "
\n" );