. By reducing the selling price of an article by Rs. 50, a gain of 5% turns into a loss of 5%. Find the original selling price of the article.

Let the cost price of the item be Rs x and original selling price of the item be Rs y.

We know that,

When the selling price of the item is reduced by Rs 50,

New selling price of the item 

We know that,

Thus, the cost price of item is Rs 50.

so original SP = y = 21x / 20 = Rs. 52.50