Step 1: Understanding the profit per article.
The profit per article is the difference between the selling price and the cost price:
\[
\text{Profit per article} = 765 - 632 = 133.
\]
Step 2: Calculating the number of articles sold.
The total profit earned is ₹1596. The number of articles sold can be calculated by dividing the total profit by the profit per article:
\[
\text{Number of articles sold} = \frac{1596}{133} = 12.
\]
Step 3: Conclusion.
The number of articles sold is 12, so the correct answer is (1) 12.