Art of Problem Solving

2014 AMC 10B Problems/Problem 11: Difference between revisions

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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 $n\%$ is more advantageous than any of the following discounts:

(1) two successive $15\%$ discounts (2) three successive $10\%$ discounts (3) a $25\%$ discount followed by a $5\%$ discount

What is the possible positive integer value of $n$?

$\textbf{(A)}\ \ 27\qquad\textbf{(B)}\ 28\qquad\textbf{(C)}\ 29\qquad\textbf{(D)}}\ 31\qquad\textbf{(E)}\ 33$ (Error compiling LaTeX. Unknown error_msg)

Solution

See Also

2014 AMC 10B (ProblemsAnswer KeyResources)
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

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