The average weight of Chetan, Vipul and Mohan is 46 kg. If the average weight of Chetan and Vipul be 40 kg and that of Vipul and Mohan be 44 kg, then the weight of Vipul (in kg) is:

Correct option is B

Given:

Average weight of Chetan, Vipul, Mohan = 46 kg

Average weight of Chetan & Vipul = 40 kg

Average weight of Vipul & Mohan = 44 kg

Formula Used:

Sum = $$\text{Average} \times \text{Number of persons}$$​​

Solution:

Let the weights be:

Chetan = C, Vipul = V, Mohan = M

Now, 

C + V + M = 46 × 3 = 138 .....(1)

C + V = 40 × 2 = 80 ........(2)

V + M = 44 × 2 = 88 ...........(3)

Doing (2) + (3) - ( 1):

(C + V + V + M) - (C + V + M) = ( 80 + 88) - (138)

V = 168 - 138 

V = 30  

Thus, Weight of Vipul is 30 kg