A shopkeeper sold an air - conditioner for Rs. 25935 with a discount of 9% and earned a profit of 3.74%. What would have been the percentage of profit if no discount were offered?

Answer: Option D

Selling Price = Rs. 25935
Let marked price be Rs. x
Then,
$$\begin{array}{rl}& =\text{91}\%\text{ of }x\text{ = 25935}\\ & x\text{ = }\left(\frac{25935\times 100}{91}\right)\\ & =28500\\ & \text{Cost Price}\\ & =\text{Rs}.\left(\frac{100}{103.74}\times 25935\right)\\ & =\text{Rs}\text{. 25000}\end{array}$$
Now Cost price = Rs. 25000
S.P. = Rs. 28500
Profit = Rs. (28500 - 25000) = Rs. 3500
$$\begin{array}{rl}& \therefore \text{ Required profit }\%\\ & =\left(\frac{3500}{25000}\times 100\right)\%\\ & =14\%\end{array}$$