A profit of $25\%$ is made by selling an article for $\text{Rs. }30$. If the article were sold for $\text{Rs. }33.60$, what would be the profit percentage?

Let the Cost Price of the article be $CP$.
Given:

* First Selling Price ($S{P}_1$) = $\text{Rs. }30$
* Profit percentage = $25\%$

Using the formula for cost price:

$$S{P}_1=CP\times \left(1+\frac{\text{Profit }\%}{100}\right)$$

$$30=CP\times 1.25⟹CP=\frac{30}{1.25}=\text{Rs. }24$$

Now, we calculate the profit percentage when the new Selling Price ($S{P}_2$) is $\text{Rs. }33.60$:

$$\text{Profit}=S{P}_2-CP=33.60-24=\text{Rs. }9.60$$

$$\text{Profit Percentage}=\left(\frac{\text{Profit}}{CP}\right)\times 100=\left(\frac{9.60}{24}\right)\times 100=0.4\times 100=40\%$$