A shopkeeper marks his goods at $160\%$ above the cost price and offers a discount of $25\%$ on the marked price. What is his profit percentage?

Let the Cost Price ($\text{CP}$) of the goods be $\text{Rs. }100$.
1. **Calculate Marked Price ($\text{MP}$):**
The shopkeeper marks his goods at $160\%$ above the $\text{CP}$.

$$\text{MP}=\text{CP}+160\%\text{ of CP}$$

$$\text{MP}=100+160=\text{Rs. }260$$

2. **Calculate Selling Price ($\text{SP}$):**
A discount of $25\%$ is offered on the marked price.

$$\text{Discount}=25\%\text{ of }260=\frac{25}{100}\times 260=65$$

$$\text{SP}=\text{MP}-\text{Discount}=260-65=\text{Rs. }195$$

3. Calculate Profit Percentage:

$$\text{Profit}=\text{SP}-\text{CP}=195-100=\text{Rs. }95$$

$$\text{Profit Percentage}=\left(\frac{\text{Profit}}{\text{CP}}\right)\times 100=\left(\frac{95}{100}\right)\times 100=95\%$$