A merchant sold an article for $ 75 at a profit percent

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A merchant sold an article for $ 75 at a profit percent equal to its cost price. The cost price of the article was :

1. $ 45
2. $ 50
3. $ 54
4. $ 60

Correct Option: B

Let the cost price of article be $ y.

∴			100 + y			of y = 75
			100

⇒ y² + 100y – 7500 = 0
⇒ y² + 150y – 50y – 7500 = 0
⇒ y (y + 150) – 50 (y + 150) = 0
⇒ (y – 50) (y + 150) = 0
⇒ y = 50 and y = - 150 as y can't be negative