If the mean of $$\frac{x}{2},x,\frac{x}{3},\frac{x}{4}$$​, and $$\frac{x}{6}$$​ is 6, then value of $$x$$​ will be:

Correct option is B

Given:
Fractions: $$\frac{x}{2},x,\frac{x}{3},\frac{x}{4}$$​, and $$\frac{x}{6}$$​
Mean = 6
Formula Used:
​$$\text{Mean} = \frac{\text{Sum of all terms}}{\text{Number of terms}}$$​​
Solution:
Mean = $$\frac{\frac{x}{2} + x + \frac{x}{3} + \frac{x}{4} + \frac{x}{6}}{5}$$​​

6 = $$\frac{\frac{x}{2} + x + \frac{x}{3} + \frac{x}{4} + \frac{x}{6}}{5}$$​​
30 = $$\frac{6x + 12x + 4x + 3x + 2x}{ 12}$$​​
$$\frac{27x } {12}$$​ = 30
27x = 360
Therefore, x = $$\frac{40}3$$​.