Difference between revisions of "2014 AMC 10B Problems/Problem 11"
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==Problem== | ==Problem== | ||
| + | For the consumer, a single discount of <math>n\%</math> is more advantageous than any of the following discounts: | ||
| + | |||
| + | (1) two successive <math>15\%</math> discounts | ||
| + | (2) three successive <math>10\%</math> discounts | ||
| + | (3) a <math>25\%</math> discount followed by a <math>5\%</math> discount | ||
| + | |||
| + | What is the possible positive integer value of <math>n</math>? | ||
| + | |||
| + | <math> \textbf{(A)}\ \ 27\qquad\textbf{(B)}\ 28\qquad\textbf{(C)}\ 29\qquad\textbf{(D)}}\ 31\qquad\textbf{(E)}\ 33 </math> | ||
==Solution== | ==Solution== | ||
Revision as of 14:01, 20 February 2014
Problem
For the consumer, a single discount of 
is more advantageous than any of the following discounts:
(1) two successive 
discounts
(2) three successive 
discounts
(3) a 
discount followed by a 
discount
What is the possible positive integer value of 
?
$\textbf{(A)}\ \ 27\qquad\textbf{(B)}\ 28\qquad\textbf{(C)}\ 29\qquad\textbf{(D)}}\ 31\qquad\textbf{(E)}\ 33$ (Error compiling LaTeX. Unknown error_msg)
Solution
See Also
| 2014 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 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 AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
