Explanation:

- Sam bought two different articles A and B for Rs. 5000 in total.

- Article A was sold at a 25% loss. This means he sold it for 75% of its cost price.

- Article B was sold at a 6% profit, meaning he sold it for 106% of its cost price.

- The total loss incurred by Sam was Rs. 165.

Let's set:

- Cost price of article A = x

- Cost price of article B = 5000 - x

Solve the equations for overall loss:

1. Loss from A = 0.25x

2. Profit from B = 0.06(5000 - x)

Overall Loss = 0.25x - 0.06(5000 - x) = 165

Solve for x:

0.25x - 300 + 0.06x = 165

0.31x = 465

x = 1500

- Hence, the cost price of article A is Rs. 1500.

Rs. 1500 is the correct answer.