By selling an article for rs 1470, a man gains 1/6th of its cost price. Find its cost price.

Suppose the cost price of an article is x.
Gain = 1/6 of the cost price = $\frac{x}{6}$
And the selling price of an article = Rs.1470
So we have;
$$\begin{gathered} \mathrm{Cost} \mathrm{price} + \mathrm{gain} = \mathrm{Selling} \mathrm{price} \\ \Rightarrow \mathrm{x} +\frac{\mathrm{x}}{6} = 1470 \\ \Rightarrow \frac{7\mathrm{x}}{6} = 1470 \\ \Rightarrow \mathrm{x} = 1470\times \frac{6}{7} = 1260 \end{gathered}$$
Therefore, the cost price of an article is Rs.1260.