Anu sells an article at a profit of 25%. If she had bought it at 25% less and sold it for ₹30.25 less she would have gained 30%. What is the original price (in ₹) of the article?

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

=> Selling price after 25% profit = Rs. $$125x$$

If new cost price is 25% less, => New cost price = Rs. $$75x$$

=> New selling price after 30% profit = Rs. $$\frac{130}{100}\times75x=Rs.$$ $$97.5x$$

Also, new selling price = Rs. $$(125x-30.25)$$

Thus, according to ques,

=> $$125x-30.25=97.5x$$

=> $$125x-97.5x=27.5x=30.25$$

=> $$x=\frac{30.25}{27.5}=1.1$$

$$\therefore$$ Original price = $$100\times1.1=Rs.$$ $$110$$

=> Ans - (D)