document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084541>Question 1084541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A shopkeeper sold a sofa set at 8 percent gain. Had he purchased it for 5 percent less and sold it for rs 36 less than what he actually sold it for,he would have gained 12.5 percent.For how much did the man purchase the sofa set? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843930 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=843930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A shopkeeper sold a sofa set at 8 percent gain. Had he purchased it for 5 percent less and sold it for rs 36 less than what he actually sold it for,he would have gained 12.5 percent.For how much did the man purchase the sofa set?\r<BR>\n" );
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document.write( "Let the purchase price of Sofa be Rs.x\r<BR>\n" );
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document.write( "He sold it for 8% gain.<BR>\n" );
document.write( "He sold it for 1,08x\r<BR>\n" );
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document.write( "Cost at 5% less = 0.95x \r<BR>\n" );
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document.write( "Sold it for Rs36 less ie:1.08x-36\r<BR>\n" );
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document.write( "profit = (1.08x-36)-0.95x<BR>\n" );
document.write( "= 0.13x -36\r<BR>\n" );
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document.write( "(0.13x-36)/0.95x = 0.125\r<BR>\n" );
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document.write( "0.13x -36 = 0.95x*0.125\r<BR>\n" );
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document.write( "0.13x-36=0.11875x\r<BR>\n" );
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document.write( "0.13x-0.11875x=36\r<BR>\n" );
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document.write( "solve for x<BR>\n" );
document.write( "0.01125x =36\r<BR>\n" );
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document.write( "x = 3200\r<BR>\n" );
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document.write( "Cost price of the sofa set was  Rs 3200\r<BR>\n" );
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document.write( "SP= 3200*1.08 =3456\r<BR>\n" );
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document.write( "5%less = 0.95*3200 =3040  CP\r<BR>\n" );
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document.write( "SP less 36 3456-36 = 3420\r<BR>\n" );
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document.write( "3420-3040 = 380\r<BR>\n" );
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document.write( "(380/3040)*100 =12.5%\r<BR>\n" );
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document.write( " </SPAN>\n" );
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