document.write( "Question 1203463: a trader sold an article at a discount of 6% for 846. if the article was initially marked to gain 20%. find the market price, cost price of the seller and discount price allowed. \n" ); document.write( "
Algebra.Com's Answer #839043 by ikleyn(52798)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "A trader sold an article at a discount of 6% for 846. If the article was initially marked to gain 20%,
\n" ); document.write( "find the market price, cost price of the seller and discount price allowed.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My point of view is that this post uses wrong terminology;
\n" ); document.write( "therefore, it is not possible to understand the meaning of the problem,
\n" ); document.write( "so, this formulation is a kind of gibberish (if to call the things by their proper names).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Below I will write a correct formulation and a solution to modified version,
\n" ); document.write( "but before I'd like to give preliminary explanations.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this problem, the situation is considered from the point of view of the trader.
\n" ); document.write( "From this point of view, the following notions/conceptions do work and are applicable:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "     - buying price, at which a trader buys an article somewhere outside;
\n" ); document.write( "     - marked price, which is written and attached to the article in the store;
\n" ); document.write( "     - selling price is for how much a trader sells an article after discount.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now a correct formulation to the problem is THIS:\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "     A trader sold an article at a discount of 6% for 846. If the article was initially marked to gain 20%, \r\n" );
document.write( "     find the \"highlight%28cross%28market%29%29\" marked price, \"highlight%28cross%28cost%29%29\" buying price of the \"highlight%28cross%28seller%29%29\" trader and discount \"highlight%28cross%28price%29%29\" allowed.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "                                The solution is as follows:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let x be the marked price. Then from the problem\r\n" );
document.write( "\r\n" );
document.write( "    x - 0.06x = 846,  which implies  0.94x = 846,  x = \"846%2F0.94\" = 900.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the marked price is 900 monetary units.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next, the marked price provides 20% profit over the buying price.  It gives us this equation\r\n" );
document.write( "\r\n" );
document.write( "    1.2*y = 900,  where y is the buying price for the trader.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It implies  y = \"900%2F1.2\" = 750.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus the buying price is 750 monetary units.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "And finally, the discount allowed is 6% of the marked price, or 0.06*900 = 54 monetary units.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Marked price is 900.  \r\n" );
document.write( "\r\n" );
document.write( "         Buying price is 750.\r\n" );
document.write( "\r\n" );
document.write( "         The discount allowed is 54.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In this problem,  if to formulate it properly,  there is no any  \" market \"  price.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is  \" marked \"  price,  instead,  which is totally different conception.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );