Latest Wipro Aptitude Question SOLUTION: A shopkeeper increases the price of an article by X% and then decreases it by X%. As a result the price of the article is reduced by $180. After one more such change the price is f

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A shopkeeper increases the price of an article by X% and then decreases it by X%. As a result the price of the article is reduced by $180. After one more such change the price is further reduced by $153 Find the original price of the article.
A. $1200
B. $1100
C. $1400
D. $1000
E. $1500

Asked In Wipro (12 years ago)

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  (5 years ago)

Let the original price be P

New price P1 = P (1+x/100)(1-x/100)

Given p-p1= 180 -------eq a

Similarly,

p2 = p1(1+x/100)(1-x/100)

and p1-p2= 153----------eq b


From eq a and b we get,

p1= (17/20)*p

Replace this in eq a

p-p1 = 180
p - (17*p)/20 = 180

p= 1200

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