​If $$\frac{1}{5}$$​ of a number multiplied by $$\frac{2}{3}$$​ of the same number gives 480, then the number is:

Correct option is B

Given: 

 $$\frac{1}{5}$$​ of a number $$\times$$​ $$\tfrac{2}{3}$$ of the same number = 480.

Solution:

Let a number = x

Then,

$$x \times \frac{1}{5}\times x \times \frac{2}{3} = 480$$

$$\frac{2\times x^2}{15} = 480$$

​$$x^2 = \frac{15 \times 480}{2}$$

​​$$x^2 = 15 \times 240$$​​

​$$x^2 = 3600$$

​​$$x = \sqrt{3600}$$

x = 60

So, the number is 60.

Thus, the correct answer is option(b).