The average weight of first 11 persons among 12 persons is 95 kg. The weight of 12^th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12^th person is :

A. 128.75

B. 131

C. 128

D. 97.45

Answer: Option B

Solution(By Examveda Team)

Let the average weight of 12 person is = x and weight of 12 persons
According to the question,
$$\eqalign{ & \Rightarrow \frac{{11 \times 95 + x + 33}}{{12}} = x \cr & \Rightarrow 1045 + x + 33 = 12x \cr & \Rightarrow 11x = 1078 \cr & \Rightarrow x = 98 \cr} $$
∴ The weight of 12^th person is = 98 + 33 = 131 kg