document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040639>Question 1040639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Richard Gomes pays 25% custom duty on a computer which costs Rs. 10000  in U.S.A For how much should he mark it , if he desires a profit of 30% after allowing two successive discounts of 15% and 10% on the marked price . Find also the selling price correct to nearest rupee.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655918 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=655918\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i'm not exactly sure how this works, but i'll give it a shot.\r<BR>\n" );
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document.write( "the cost of the computer is 1000 rupees in the usa.<BR>\n" );
document.write( "apparently there is a custom charge of an additional 25% to bring the computer into india, so the total cost of the computer is 1000 + .25 * 1000 = 1250 rupees.\r<BR>\n" );
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document.write( "he wants a profit of 30%.<BR>\n" );
document.write( "therefore his profit needs to be .30 * 1250 = 375 rupees.\r<BR>\n" );
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document.write( "let m equal the markup price.\r<BR>\n" );
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document.write( "the first selling price is equal to the markup price minus a 15% discount.<BR>\n" );
document.write( "the selling price after the first discount is therefore equal to m - .15 * m which is equal to .85 * m.\r<BR>\n" );
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document.write( "the selling price after the second discount is equal to the selling price after the first discount minus a 10% discount.<BR>\n" );
document.write( "the selling price after the first discount is equal to .85 * m.<BR>\n" );
document.write( "the selling price after the second discount is therefore equal to .85 * m - .10 * (.85 * m).<BR>\n" );
document.write( "simplify this to get the selling price after the second discount is equal to .85 * m - .085 * m.<BR>\n" );
document.write( "simplify this further to get the selling price after the second discount is equal to .765 * m.\r<BR>\n" );
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document.write( "the profit is equal to the final selling price minus the cost.<BR>\n" );
document.write( "the final selling price is equal to the selling price after the second discount which is equal to .765 * m.\r<BR>\n" );
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document.write( "the cost is equal to 1250 rupees.<BR>\n" );
document.write( "the profit is equal to 375 rupees.\r<BR>\n" );
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document.write( "since the profit is equal to the final selling price minus the cost, this means that 375 = .765 * m - 1250.<BR>\n" );
document.write( "add 1250 to both sides of this equation to get 1250 + 375 = .765 * m.<BR>\n" );
document.write( "simplify to get 1625 = .765 * m.<BR>\n" );
document.write( "divide both sides of this equation by .765 and solve for m to get m = 1625 / .765 = 2124.183007 rupees.\r<BR>\n" );
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document.write( "that's the markup price.\r<BR>\n" );
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document.write( "the first discount is 15% off of that to get the first selling price of 2124.183007 - .15 * 2124.183007 = 1805.55555... rupees.\r<BR>\n" );
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document.write( "the second discount is 10% off of the first selling price to get the second selling price of 1805.55555... - .10 * 1805.55555... = 1625 rupees.\r<BR>\n" );
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document.write( "the second selling price is the final selling price.<BR>\n" );
document.write( "the profit is equal to the final selling price of 1625 minus the cost of 1250 which is equal to 375 rupees.\r<BR>\n" );
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document.write( "the percent profit is equal to the profit divided by the cost which is equal to 375 / 1250 = .3.<BR>\n" );
document.write( "multiply this by 100 to get a percent profit of 30%.\r<BR>\n" );
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document.write( "the final selling price is 1625 rupees.\r<BR>\n" );
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document.write( "the markup price that he started with is 2124.183007 rupees.<BR>\n" );
document.write( "round this to the nearest rupee to get the markup price that he started with is 2124 rupees.\r<BR>\n" );
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document.write( "this all assumes that his total cost is the initial 1000 rupees plus the custom duty of 25% for a total cost of 1250 rupees.\r<BR>\n" );
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