Difference between revisions of "2019 AMC 8 Problems/Problem 22"

(Solution 1)
(Solution 1)
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==Solution 1==
 
==Solution 1==
Lets suppose the amount of discount is x. That means (1-x)(1+x)=0.84; so 1-x^{2}=0.84, and x^{2}=0.16. x=0.4=
+
Lets suppose the amount of discount is x. That means (1-x)(1+x)=0.84; so 1-x^{2}=0.84, and $(x^{2})=0.16. x=0.4=
  
 
==See Also==
 
==See Also==

Revision as of 17:45, 20 November 2019

Problem 22

A store increased the original price of a shirt by a certain percent and then decreased the new price by the same amount. Given that the resulting price was 84% of the original price, by what percent was the price increased and decreased? $\textbf{(A) }16\qquad\textbf{(B) }20\qquad\textbf{(C) }28\qquad\textbf{(D) }36\qquad\textbf{(E) }40$


Solution 1

Lets suppose the amount of discount is x. That means (1-x)(1+x)=0.84; so 1-x^{2}=0.84, and $(x^{2})=0.16. x=0.4=

See Also

2019 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 23
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

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