Rajlani sold a machine for Rs. 22000 with a discount of 8% on the labeled price and made a profit of 222/3 % . What would have been the profit percent if the machine was sold without discount on the label price?

Answer: Option D

Marked price of the machine = Rs. 22000
Selling price
$$\begin{array}{rl}& =\text{Rs}\text{.}\left(22000-\frac{8\times 22000}{100}\right)\\ & =\text{Rs}\text{. 20240}\\ & \text{Profit}=22\frac{2}{3}\%=\frac{68}{3}\%\end{array}$$
Let cost price of the machine be Rs. x
$$\begin{array}{rl}& \Rightarrow x+\frac{68}{3}\%\text{ of }x=\text{Rs}\text{. }20240\\ & \Rightarrow x+\frac{68x}{300}=\text{Rs}\text{. }20240\\ & \Rightarrow \frac{368x}{300}=\text{Rs}\text{. }20240\\ & \Rightarrow x=\text{Rs}.\left(\frac{20240\times 300}{368}\right)\\ & \Rightarrow x=\text{Rs}\text{. }16500\end{array}$$
Profit % when machine was sold without discount
$$\begin{array}{rl}& =\frac{22000-16500}{16500}\times 100\\ & =33\frac{1}{3}\%\end{array}$$