Let's denote the cost of the pants as \( P \) rupees. According to the problem, the cost of the shoes can be expressed as \( P + 25 \) rupees (since the shoes cost Rs. 25 more than the pants).
The total cost of the pants and shoes is given as Rs. 175. So, we can set up the following equation:
\[ P + (P + 25) = 175 \]
Simplifying this equation:
\[ 2P + 25 = 175 \]
Now, subtract 25 from both sides:
\[ 2P = 175 - 25 \]
\[ 2P = 150 \]
Next, divide both sides by 2 to solve for \( P \):
\[ P = \frac{150}{2} \]
\[ P = 75 \]
Therefore, the cost of the pants is Rs. 75.
To confirm, the cost of the shoes would be \( 75 + 25 = 100 \). Adding the costs together: \( 75 + 100 = 175 \), which matches the given total, validating our solution.