A man bought two goats for Rs. 1008. He sold one at a loss of 20% and other at a profit of 44% if each goat was sold for the same price the cost price of the goat which was sold at loss, was = ?

Let the CP of two goats be → x & y
$$\eqalign{ & x \times \frac{{80}}{{100}} = y \times \frac{{144}}{{100}} \cr & \frac{x}{y} = \frac{{144}}{{80}} \cr & \,\,\,\,\,\,\, = \frac{{18}}{{10}} \cr & \,\,\,\,\,\,\,\, = \frac{9}{5} \cr & {\text{CP of goats sold at loss}} \cr & \Rightarrow {\text{1008}} \times \frac{9}{{14}} \cr & \Rightarrow 72 \times 9 \cr & = {\text{Rs}}{\text{.}}\,648 \cr} $$