A sum of Rs 3800 is divided among three persons A, B, and C in the ratio $$\frac{1}{2}$$​ : $$\frac{1}{3}$$​ : $$\frac{3}{4}$$​. What is the share of person C?

Correct option is D

Given:

A sum of Rs 3800 is divided among three persons A, B, and C in the ratio$$\frac{1}{2}$$​​ :$$\frac{1}{3}$$​​ :$$\frac{3}{4}$$ 
Solution:
A: B: C = $$\frac{1}{2}$$​​​ :$$\frac{1}{3}$$​​​ :$$\frac{3}{4}$$ 

Multiply by 12 in all.
A: B: C = 6 : 4: 9 
Let the share of A, B and C are 6x, 4x and 9x
Sum = 3800
6x+ 4x+ 9x = 3800
19x = 3800
x = 200
Share of C = 9x = 9 $$\times 200 = 1800$$​​