A shopkeeper sold an article at a gain of 5%. If he had sold it for Rs 16.50 less, he would have lost 5%. Find the C.p of the article.

**Let The CP Of The Article Be Rs x.**

**Now If It Is Sold At A Gain Of 5%**

**Initial SP = x+5/100*x = 21x/20**

**Now Its Given That If He Had Sold It For Rs 16.50 Less**

**So 21x/20 - 16.50**

**He Would Have Lost 5%**

**So This Equals A Loss Of 5% On CP**

**Hence**

**x-5/100*x = 19x/20**

**Now These All Are Equal **

**Hence Equation Becomes**

**19x/20 = 21x/20 - 16.50**

**16.50 = 21x/20-19x/20 = x/10**

**x = 165**

**So Cost Price Of Article = Rs 165**