document.write( "Question 556229: \"A carpenter sells a center table for Rs 322, getting (1/6) of its cost price. Find his gain percent.\" \n" ); document.write( "

Algebra.Com's Answer #362089 by Theo(13342) $\"\"$ $\"About$

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he sells the center table for 322.
\n" ); document.write( "his profit is (1/6) of the cost.
\n" ); document.write( "the general equation is:
\n" ); document.write( "p = r - c
\n" ); document.write( "this means profit equals revenue minus cost.
\n" ); document.write( "his revenue is 322.
\n" ); document.write( "his profit is (1/6) times the cost.
\n" ); document.write( "the equation becomes:
\n" ); document.write( "(1/6)c = 322 - c
\n" ); document.write( "add c to both sides of this equation to get:
\n" ); document.write( "c + (1/6)c = 322
\n" ); document.write( "combine like terms to get:
\n" ); document.write( "(7/6)*c = 322
\n" ); document.write( "multiply both sides of this equation by (6/7) to get:
\n" ); document.write( "c = 322 * (6/7) which makes c equal to 276
\n" ); document.write( "the cost is 276
\n" ); document.write( "the selling price is 322
\n" ); document.write( "the profit is 322 - 276 = 46
\n" ); document.write( "ratio of profit to cost is 46 / 276 which can be simplified to 1/6.\r
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