Correct Answer: 6.8%

Solution : Given: When an article is sold at a 5% discount, then there is a profit of 14%.
Use the formulas, ​​​​​
SP = MP – Discount
CP = $\frac{100}{100+\text{Profit percent}}\times SP$
Profit percentage = $\frac{SP–CP}{CP}\times 100$
Where SP, CP, and MP are the selling price, cost price, and the marked price.
Let the MP of an article be INR 100.
Discount = 5%
⇒ SP = INR 100 – INR 5 = INR 95
Profit percentage = 14%
⇒ CP = INR $\frac{100}{100+14}\times 95$
⇒ CP = INR $\frac{100}{114}\times 95=$ INR 83.3
For the discount of 11%,
⇒ SP = INR 100 – INR 11 = INR 89
Profit percentage $=\frac{89–83.3}{83.3}\times 100$
$=\frac{5.7}{83.3}\times 100=$ 6.8%
Hence, the correct answer is 6.8%.