A man sells an article at 10% loss. If he had sold it at Rs. 10 more, he would have gained 10% . The cost price of the article is = ?

Answer: Option A

Let the CP₁ of Article= 100x
Initial SP₁ = 100x - 10% of 100x = 100x - 10x = 90x
If He sold the Article 10% profit
Now SP₂ = 100x + 10% of 100x = 100x + 10x =110x
According to question
SP₂ - SP₁ = 10
⇒ 110x - 90x = 10
⇒ 20x = 10
⇒ x = $$\frac{1}{2}$$
Initial Cost of Article = 100 × $$\frac{1}{2}$$ = Rs. 50