document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285517>Question 285517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I'd greatly appreciate it if anyone can help me on this deceptively hard (for me, at least) word problem. It is as follows:<BR>\n" );
document.write( "A storeowner's average day sales is $500, realizing a profit of 20% of the selling price. To increase the volume of his sale, he advertised his goods by spending an average of $20 a day for advertising. If his average daily sales rose to $700 with the rate of the profit still remaining the same, how much additional profit did the advertising bring?<BR>\n" );
document.write( "Thank you very much for the time and help! Godspeed! :)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206937 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=206937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First let's find how much profit the owner was making at the beginning. \"A storeowner's average day sales is $500, realizing a profit of 20% of the selling price.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=500+%2A+0.20+=+100 ALIGN=MIDDLE  ALT=\"500+%2A+0.20+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > He was making $100 a day in profits.\r<BR>\n" );
document.write( "\n" );
document.write( "\"he advertised his goods by spending an average of $20 a day for advertising.\" <BR>\n" );
document.write( "So we know that whatever his daily sales become, he must add $20 to his daily costs.\r<BR>\n" );
document.write( "\n" );
document.write( "\"If his average daily sales rose to $700 with the rate of the profit still remaining the same, ...\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=700+%2A+0.20+=+140 ALIGN=MIDDLE  ALT=\"700+%2A+0.20+=+140\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the storeowner's sales went up by 40%. He now sees $140 a day, but his costs went up by $20 in advertising. He must deduct that $20 from his profits.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=140-20+=+120 ALIGN=MIDDLE  ALT=\"140-20+=+120\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "\"how much additional profit did the advertising bring?\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120-100=+20 ALIGN=MIDDLE  ALT=\"120-100=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's look at that another way.<BR>\n" );
document.write( "The original sales of $500 resulted in profits of $20. Let's say, for fun, that he sold 5 items worth $100 each. If that were the case, the owner makes $20 on each sale.\r<BR>\n" );
document.write( "\n" );
document.write( "Now, he advertises and sells 7 items. Each item would also add $20. So 2 more sales means $40. \r<BR>\n" );
document.write( "\n" );
document.write( "But, he spends an additional $20 advertising to get those two extra sales. So he nets 40 - 20 = $20 in 'real profit'.\r<BR>\n" );
document.write( "\n" );
document.write( "If the owner was only able to sell 6 units instead of 7 ($600 in sales), then his revenue would increase but his profit would stay the same.\r<BR>\n" );
document.write( "\n" );
document.write( "If the owner sold more than $500 and less than $600, his sales would go up, but his profit would decline. It is not easy being a shopowner.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );