A trader bought a place for $1200.00 and sold it for $1680.00. What is his profile percent
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A trader bought an article for Rs. x and sold it for Rs. 52, thereby making a profit of (x−10) per cent on his outlay. Calculate the cost price.
December 30, 2019avatar
Zainab Rajpurohit
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Let the cost price of the article be x.
Its is given that selling price is Rs.52 and profit is (x−10) percent.
Therefore,
CP
SP−CP
×100=(x−10)
⇒
x
52−x
×100=(x−10)
⇒100(52−x)=x(x−10)
⇒5200−100x=x
2
−10x
⇒x
2
−10x+100x−5200=0
⇒x
2
+90x−5200=0
⇒(x−40)(x+130)=0
⇒x−40=0,x+130=0
⇒x=40,x=−130
Negative value is neglected and therefore, x=40.
Hence, the cost price of the article is Rs.40
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