If an article is sold at a gain of 5% instead of being sold

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If an article is sold at a gain of 5% instead of being sold at a loss of 5%, one gets $ 5 more. What is the cost price of the article?

1. $ 100
2. $ 105
3. $ 50
4. $ 110

Correct Option: C

Let the C.P. of article = y
According to the question,

		105y	-	95y	= 5
		100		100

⇒ 105y – 95y = 500
⇒ 10y = 500

⇒ y =	500	= $ 50
	10

Hence , the cost price of the article is $ 50 .