When an article is sold at 5% discount, then there is a profit of 14%. If the discount is 11%, then what will be the profit?

Answer: Option A

Given:
For Discount = 5%, Profit = 14%
Formula used:
Selling price = Marked price - Discount
Cost price = $$\frac{100}{100+\text{Profit}}\times \text{Selling price}$$
Profit % = $$\frac{\text{Selling price}-\text{Cost price}}{\text{Cost price}}\times 100$$
Calculation:
Let the Marked price of the article = Rs. 100
Discount = 5% ⇒ Selling price = Rs. 95
Profit = 14% ⇒ Cost price = $$\text{Rs}\text{. }\left(\frac{100}{100+14}\right)\times 95$$
Cost price = $$\text{Rs}\text{. }\frac{250}{3}$$  = Rs. 83.3
For the Discount of 11%, Selling price = Rs. 89
Then Profit % = $$\frac{89-83.3}{83.3}\times 100$$
Profit = 6.84 ≈ 6.8
Hence, the correct answer is option A.