Difference between revisions of "2012 AMC 8 Problems/Problem 8"
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<math> \textbf{(A)}\hspace{.05in}10\qquad\textbf{(B)}\hspace{.05in}33\qquad\textbf{(C)}\hspace{.05in}40\qquad\textbf{(D)}\hspace{.05in}60\qquad\textbf{(E)}\hspace{.05in}70 </math> | <math> \textbf{(A)}\hspace{.05in}10\qquad\textbf{(B)}\hspace{.05in}33\qquad\textbf{(C)}\hspace{.05in}40\qquad\textbf{(D)}\hspace{.05in}60\qquad\textbf{(E)}\hspace{.05in}70 </math> | ||
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| + | ==Solution== | ||
| + | Apply the first discount, so the price is <math>50</math>% of the original. Then apply the next <math>20</math>% discount to find that the price is now <math>40</math>% of the original. However, we need to find the percentage off the original price, not the current percentage of the price. We then subtract <math>40</math>% from <math>100</math>% (the original price of the item), to find the answer, <math> \boxed{\textbf{(D)}\ 60} </math>. | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2012|num-b=7|num-a=9}} | {{AMC8 box|year=2012|num-b=7|num-a=9}} | ||
Revision as of 10:25, 24 November 2012
A shop advertises everything is "half price in today's sale." In addition, a coupon gives a 20% discount on sale prices. Using the coupon, the price today represents what percentage off the original price?
Solution
Apply the first discount, so the price is 
% of the original. Then apply the next 
% discount to find that the price is now 
% of the original. However, we need to find the percentage off the original price, not the current percentage of the price. We then subtract % from 
% (the original price of the item), to find the answer, 
.
See Also
| 2012 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 7 |
Followed by Problem 9 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
