A manufacturer undertakes to supply $2000$ 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 first based on the estimation:
* Total components = $2000$ pieces
* Selling price per component = $\text{₹}50$

If $5\%$ fail, then the accepted components are:

$$2000-(5\%\text{ of }2000)=2000-100=1900\text{ pieces}$$

Total revenue earned from selling these $1900$ pieces:

$$\text{Revenue}=1900\times 50=\text{₹}95,000$$

At this revenue, the profit is estimated to be $25\%$. We can find the Total Cost Price (CP) of producing all $2000$ pieces:

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

$$95,000=\text{CP}\times \frac{5}{4}$$

$$\text{CP}=95,000\times \frac{4}{5}=19,000\times 4=\text{₹}76,000$$

Now, let's look at the actual scenario:

* $50\%$ of the components were rejected, so accepted components = $50\%\text{ of }2000=1000\text{ pieces}$
* Actual revenue earned from selling $1000$ pieces = $1000\times 50=\text{₹}50,000$

The manufacturer's loss is the difference between total cost price and actual revenue earned:

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