Q19 of 83 Page 90

A vendor gets a profit in percentage equal to the cost price of a flower pot when he sells it for 96. Find the cost of the flower pot and the percentage of profit.

let C.P of flowerpot be x.

⇒ Profit = x%


If C.P = 100, then profit = x.


And, if C.P = x, then Profit –



We know, C.P + Profit = S.P



⇒ 100x + x2 = 9600


⇒ x2 + 100x – 9600 = 0


⇒ x2 + (160 – 60)x – 9600 = 0


⇒ x2 + 160x – 60x – 9600 = 0


⇒ x(x + 160) – 60(x + 160) = 0


⇒ (x – 60)(x + 160) = 0


⇒ x – 60 = 0 or x + 160 = 0


⇒ x = 60 or x = – 160


But price cannot be negative.


⇒ x(C.P) = 60


And profit obtained = 60%


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