Sandeep sells an article at a loss of 10%. Had he bought it at 20% less and sold if for Rs. 55 more, he could have gained 40%. What is the cost price of the article ?

Let cost price of article = Rs. $$100x$$

=> Selling price = $$100x\times\frac{90}{100}=Rs.$$ $$90x$$

According to ques, new cost price = $$100x\times\frac{80}{100}=Rs.$$ $$80x$$

And new selling price = $$Rs.$$ $$(90x+55)$$

=> Profit % = $$\frac{(90x+55)-80x}{80x}\times100=40$$

=> $$10x+55=32x$$

=> $$32x-10x=22x=55$$

=> $$x=\frac{55}{22}=2.5$$

$$\therefore$$ Cost price of the article = $$100\times2.5=Rs.$$ $$250$$

=> Ans - (C)