document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110013>Question 1110013</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Cellphone Company buys iPhones at PhP24,000. Expenses are set at 17% of the selling price and the required profit is set at 20% of the selling price. During a weekend sale, the iPhone is sold at 10% discount. <BR>\n" );
document.write( "A. What is the regular selling price of the iPhone? <BR>\n" );
document.write( "B. What is the sale price of the iPhone? <BR>\n" );
document.write( "C. How much did The Cellphone Company gain or lose when the iPhone was sold during the weekend sale?<BR>\n" );
document.write( "Thank You in Advanced.. ;) <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725014 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=725014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let s equal the regular selling price of the iphone.<BR>\n" );
document.write( "let c = the cost of the iphone.<BR>\n" );
document.write( "let e = the expenses related to selling of the iphone.<BR>\n" );
document.write( "let p = the required profit to be made by selling the iphone.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "equations for selling price is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "s = c + e + p\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c = 24000<BR>\n" );
document.write( "e = .17 * s<BR>\n" );
document.write( "p = .20 * s\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "equation becomes s = 24000 + .17 * s + .20 * s\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get s = 24000 + .37 * s\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract .37 * s from both sides of the equation to get s - .37 * s = 24000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get .63 * s = 24000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "divide both sides of the equation by .63 to get s = 24000 / .63 = 38095.2381.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the regular selling price of the iphone is set at 38095.2381.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "e = .17 * s becomes e = 17 * 38095.2381 becomes e = 6476.190476.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p = .20 * s becomes p = .20 *38095.2381 becomes p = 7619.047619.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we have s = 38095.2381\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract e = 6476.190476 from s to get s - e = 31619.04762.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's the regular selling price of the iphone \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p = s - e - c becomes p = 31619.04762 - 24000 = 7619.047619.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's the profit on the regular selling price of the iphone after expenses have been deducted and after the cost of the iphone has been deducted.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since p is the same as we calculaed earlier, then p = .20 * s is confirmed to be true when selling at the regular price.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so far eveything checks out.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "during the weekend sale, the iphone was sold at 10% discount.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d = s - .10 * s becomes d = .90 * s which becomes d = .9 * 38095.2381 which becomes d = 34285.71429.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that's the discounted sale price of the iphone.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "p = d - e - c becomes p = 34285.71429 - 6476.190476 - 24000 which becomes p = 3809.52381.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the profit is now 3809.52381 rather than the originally anticipated profit of 7619.047619\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is half the expected profit, but it is still a profit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the cell phone company gained 3809.52381 when it sold the iphone during the weekend sale event.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the answers to the questions are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A. What is the regular selling price of the iPhone? \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the regular selling price is 38095.2381.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B. What is the sale price of the iPhone? \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the sale price is 34285.71429.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C. How much did The Cellphone Company gain or lose when the iPhone was sold during the weekend sale?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the cellphone company gained 3809.52381 when the iphone was sold during the weekend sale event.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );