If the selling price is tripled and cost price doubled, the profit would become $65\%$. What is the present profit (in $\%$ )?

Let the original cost price be $\text{CP}$ and original selling price be $\text{SP}$.
Original profit percentage $P=\frac{\text{SP}-\text{CP}}{\text{CP}}\times 100$

According to the question, the new cost price becomes $2\text{CP}$ and the new selling price becomes $3\text{SP}$. The new profit is $65\%$.

$$\text{New Profit }\%=\frac{\text{New SP}-\text{New CP}}{\text{New CP}}\times 100=65$$

$$\frac{3\text{SP}-2\text{CP}}{2\text{CP}}=0.65$$

$$3\text{SP}-2\text{CP}=1.3\text{CP}$$

$$3\text{SP}=3.3\text{CP}$$

$$\text{SP}=1.1\text{CP}$$

Now, substitute $\text{SP}$ back into the original profit formula:

$$\text{Present Profit }\%=\frac{1.1\text{CP}-\text{CP}}{\text{CP}}\times 100=\frac{0.1\text{CP}}{\text{CP}}\times 100=10\%$$