A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5% . What would have been the percentage of profit earned if no discount was offered ?

Answer: Option C

Let cost price be Rs. 100
Then, Selling Price = Rs. 123.50
Let marked price be Rs. x
Then,
$$\begin{array}{rl}& \frac{95}{100}x=123.50\\ & \Rightarrow x=\text{Rs}\text{.}\left(\frac{12350}{95}\right)\\ & \Rightarrow x=\text{Rs}\text{.130}\end{array}$$
Now, selling price = Rs. 130
Cost price = Rs. 100
∴ Profit % = 30%