The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.
The C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.
QuestionThe C.P of an article is equaled to the profit %, and a shopkeeper sells it in Rs 56. Find the C.P of the article.
Typemultiple_choice
Option40correct
Option60incorrect
Option80incorrect
Option100incorrect
SolutionC.P = Profit %, S.P = 56 (given)
Let C.P = Profit % = x
Apply formula:
S.P = ((100 + Profit %)/100) * C.P
56 = ((100 + x)/100) * x
x2 + 100x = 5600
x2 + 100x -5600=0
Now calculate the factors.
x2+ 140x – 40x- 5600=0
(x+140)(x- 40)=0
x= -140 and +40.
-ve value is not valid, so the x=40
So, C.P = Profit% = 40
quantitative aptitude
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