document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191303>Question 191303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> during a period of acute shortage of raw materials, the prices of some manufactured goods were raised by 25% . After the shortages were over. prices were lowered by 15%. If the original price of an article was Rs 56 , finds its price after the shortages were over . Would it have been cheaper if its price had been raised byh 8% at the beginning of the shortages and left uncharged at the end ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143702 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=143702\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
document.write( "</pre><font size=4><b><BR>\n" );
document.write( "Let us bisect the two situations,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<font color=blue>During shortage:</font>\r<BR>\n" );
document.write( "\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > = original price = 56 Rs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B0.56x ALIGN=MIDDLE  ALT=\"x%2B0.56x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, raised by 25%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2B0.25%2856%29 ALIGN=MIDDLE  ALT=\"56%2B0.25%2856%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2B14 ALIGN=MIDDLE  ALT=\"56%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<font color=blue>70 Rs</font> becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D ALIGN=MIDDLE  ALT=\"x%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<font color=blue>After Shortage</font>\r<BR>\n" );
document.write( "\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D-0.15%28x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"x%5B1%5D-0.15%28x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= new price, lowered by 15%<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70-0.15%2870%29 ALIGN=MIDDLE  ALT=\"70-0.15%2870%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70-10.5 ALIGN=MIDDLE  ALT=\"70-10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<font color=blue>59.50 Rs</font>, (Answer)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "*If Original Price was increase only by 8% at the beginning of shortage:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2B0.08%2856%29 ALIGN=MIDDLE  ALT=\"56%2B0.08%2856%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56%2B4.48 ALIGN=MIDDLE  ALT=\"56%2B4.48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<font color=blue>60.48 Rs</font>,  a little bit higher, almost 1 Rs more.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "*Conclusion, having increased by 25% and lowering thereafter by 15% has a cheaper price.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font>\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( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );