document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=902568>Question 902568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man loses 50/3 % on cost. how much does this represent on sales </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547436 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=547436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate = percent / 100%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "50/3 percent means a rate of 50/300 which is a rate of 1/6 after you simplify it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "loss = 50/3 percent of cost translates to:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "loss = 1/6 * cost\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means that loss / cost = 1/6.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we want to find loss / sales\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we know that sales = cost - loss\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so loss / sales is equivalent to loss / (cost - loss)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we know that loss is equal to 1/6 * cost, so the equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "loss / sales = loss / (cost - loss) = loss / (cost - 1/6 * cost) which becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "loss / sales = loss / (5/6 * cost)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since loss is equal to 1/6 * cost, we get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "loss / sales = (1/6 * cost) / (5/6 * cost) which becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "loss / sales = 1/5 which is equal to 20%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let's see if this works.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you take a loss of 50/3 percent of cost.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let's assume your cost is 1200 dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you take a loss of 50/3 percent of the cost which is a loss of 200 dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "200 / 1200 = 1/6 which is equal to 100/6  percent which is equal to 50/3 percent so the numbers check out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so you took a loss of 200 dollars and your cost was 1200 dollars which means you sold for 1000 dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the percent loss on sales is therefore 200 / 1000 = .2 which is equal to 20%.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i believe that's the figure we calculated above so the formula is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your solution is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a loss of 50/3 percent on cost is equivalent to a loss of 20% on sales.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );