document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150773>Question 1150773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If you buy something for 10% off, and then get another 15% taken off of the sale price, is that the same as taking off 25% of the original price. Explain using an example.(I believe no, but got the part of the example wrong on my test) </SPAN>\n" );
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document.write( "Example: \r<BR>\n" );
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document.write( "Let's say an item costs $100.\r<BR>\n" );
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document.write( "Apply the 10% discount. This means you save $10 and the item is now worth $90. We can see that $10 is 10% of $100. You can think of it as \"you save 10% but pay the remaining 90%\".\r<BR>\n" );
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document.write( "Now apply the 15% discount. This means we save 15% but still have to pay 85% of the remaining value. Apply 85% to $90 and we get 0.85*90 = 76.50\r<BR>\n" );
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document.write( "We started with $100 and ended up at $76.50<BR>\n" );
document.write( "That's a difference of 100 - 76.50 = 23.50\r<BR>\n" );
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document.write( "So that's an overall discount of 23.5/100 = 23.5%\r<BR>\n" );
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document.write( "While this is close to 25%, its not quite there. It would be nice if the percentage discounts added up like 10%+15% = 25%, but unfortunately it doesn't work. You have the correct thinking in saying the answer is \"no\". <BR>\n" );
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