A manufacturer undertakes to supply $2000\text{ pieces}$ of a particular component at $\text{₹ }50$ per piece. According to his estimates, even if $5\%$ components fail to pass the quality test, then he will make a profit of $25\%$. However, as it turned out, $50\%$ of the components were rejected. Then what is the loss to the manufacturer?

Let's find the total cost of production based on the manufacturer's initial estimates:
* Total components produced = $2000$
* Estimated passed components = $100\%-5\%=95\%$

$$\text{Passed Pieces}=2000\times \frac{95}{100}=1900$$

* Expected revenue from these pieces = $1900\times \text{₹ }50=\text{₹ }95,000$

Since this revenue includes a $25\%$ profit on the Total Cost (TC):

$$\text{TC}\times \left(1+\frac{25}{100}\right)=95,000$$

$$1.25\times \text{TC}=95,000⟹\text{TC}=\frac{95000}{1.25}=\text{₹ }76,000$$

Now let's look at the actual scenario:

* $50\%$ of components were rejected $⟹$ only $50\%$ were accepted.

$$\text{Actual Passed Pieces}=2000\times \frac{50}{100}=1000$$

* Actual revenue generated = $1000\times \text{₹ }50=\text{₹ }50,000$

The actual financial loss incurred by the manufacturer is:

$$\text{Loss}=\text{Total Cost}-\text{Actual Revenue}=76,000-50,000=\text{₹ }26,000$$