If 27 identical articles cost ₹ 1,890, how many articles can be bought for ₹ 1,750 ?

Let x articles cost ₹ 1,750.

Since it is a case of direct variation.

$\therefore \dfrac{27}{1,890} = \dfrac{x}{1,750}\\[1em] \Rightarrow x = \dfrac{27 \times 1,750}{1,890}\\[1em] \Rightarrow x = \dfrac{47,250}{1,890}\\[1em] \Rightarrow x = 25$

Hence, the 25 articles can be bought for ₹ 1,750.