document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=159797>Question 159797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a bookstore purchased a best selling price at 200 pesos per copy. at what price should this book be sold so that, giving a 20% discount, the profit is 30 %? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #117833 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=117833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Cost of the book is 200 pesos.<BR>\n" );
document.write( "Profit will be 30% of the cost.<BR>\n" );
document.write( "Selling Price will be 20% lower than the retail price.<BR>\n" );
document.write( "let C = cost of the book = 200 pesos.<BR>\n" );
document.write( "let R = retail price<BR>\n" );
document.write( "let S = selling price = retail price minus 20% discount = (R-.2*R) = .8*R<BR>\n" );
document.write( "let P = 30% of the cost of the book = 200 * .3 = 60 pesos.<BR>\n" );
document.write( "since selling price minus cost = profit, the equation we are looking for becomes<BR>\n" );
document.write( "P = S - C<BR>\n" );
document.write( "since we know P and C, the equation becomes<BR>\n" );
document.write( "60 = S - 200<BR>\n" );
document.write( "adding 200 to both sides of the equation and it becomes<BR>\n" );
document.write( "60 + 200 = S which becomes<BR>\n" );
document.write( "S = 260<BR>\n" );
document.write( "since the selling price is 80% of the retail price, we need to solve for the retail price.  the equation for the retail price is <BR>\n" );
document.write( ".8*R = S<BR>\n" );
document.write( "dividing both sides of the equation by .8 and the equation becomes<BR>\n" );
document.write( "R = S/.8 = 260 / .8 = 325 pesos.<BR>\n" );
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document.write( "we have a solution (retail price is 325 pesos) and we need to prove that it is correct.<BR>\n" );
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document.write( "if the retail price is 325 pesos and we provide a discount of 20% on that, then the selling price will be .8 * 325 = 260 pesos.<BR>\n" );
document.write( "since the cost is 200, the profit is 60 pesos divided by the cost of 200 pesos yields 30% profit over the cost.<BR>\n" );
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document.write( "the solution proves to be correct.<BR>\n" );
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document.write( "the answer is:<BR>\n" );
document.write( "Retail Price is 325 pesos.<BR>\n" );
document.write( "Selling Price is 260 pesos = 80% of Retail Price.<BR>\n" );
document.write( "Cost is 200 pesos.<BR>\n" );
document.write( "Profit is 60 pesos / Cost = 30% </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );