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Question
Pankaj sold an article for Rs 5600 which cost him Rs x. He finds that he has gained x % on his outlay. Find x.
Pankaj sold an article for Rs 5600 which cost him Rs x. He finds that he has gained x % on his outlay. Find x.
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Solution
The correct option is B Rs. 700
C.P=Rs x;S.P.=Rs5600⇒ x2100=5600−x⇒ x2=560000−100x⇒ x2+100x−560000=0⇒ x2+800x−700x−560000=0⇒ x(x+800)−700(x+800)=0⇒ (x+800)(x−700)=0x=−800,700;x=−800(neglected)Hence,x=Rs 700
Rs. 700
C.P=Rs x;S.P.=Rs5600⇒ x2100=5600−x⇒ x2=560000−100x⇒ x2+100x−560000=0⇒ x2+800x−700x−560000=0⇒ x(x+800)−700(x+800)=0⇒ (x+800)(x−700)=0x=−800,700;x=−800(neglected)Hence,x=Rs 700
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