The increase in the price of a certain item was $25\%$. Then the price was decreased by $20\%$ and then again increased by $10\%$. What is the resultant increase in the price?

Let the initial original price of the item be $100$.
1. **After a $25\%$ increase:**

$$\text{Price}=100\times \left(1+\frac{25}{100}\right)=125$$

2. **After a successive $20\%$ decrease:**

$$\text{Price}=125\times \left(1-\frac{20}{100}\right)=125\times 0.80=100$$

3. **After another successive $10\%$ increase:**

$$\text{Price}=100\times \left(1+\frac{10}{100}\right)=110$$

Now, compare the final value with the initial base price:

$$\text{Net increase}=110-100=10$$

$$\text{Percentage Increase}=\frac{10}{100}\times 100=10\%$$