If the average of number, its 75% and its 25% is 240, then the number is :

Let the number be x
Then,
$$\eqalign{ & \Rightarrow \frac{{x + 75\% {\text{ of }}x + 25\% {\text{ of }}x}}{3} = 240 \cr & \Rightarrow x + \frac{{75}}{{100}}x + \frac{{25}}{{100}}x = 240 \times 3 \cr & \Rightarrow x + \frac{3}{4}x + \frac{1}{4}x = 720 \cr & \Rightarrow 2x = 720 \cr & \Rightarrow x = 360 \cr} $$