An article is marked 27% above its cost price. If x % discount is allowed on the marked price and still there is a profit of 6.68%, then what is the value of x ?

Let the cost price of the article = 100C

Profit = 6.68%

Selling price of the article = 106.68C

Article is marked 27% above its cost price.

Marked price of the article = 127C

Discount = x%

Selling price of the article = $$\frac{100-x}{100}\times$$127C

$$\Rightarrow$$  $$\frac{100-x}{100}\times$$127C = 106.68C

$$\Rightarrow$$  100 - x = $$\frac{10668}{127}$$

$$\Rightarrow$$  100 - x = 84

$$\Rightarrow$$  x = 16

Hence, the correct answer is Option C