A128
B131
C151
D145
Answer:
B. 131
Read Explanation:
Step 1: Calculate the total weight of the first 11 persons.
Given, the average weight of 11 persons = 95 kg.
Using the average formula, the Sum of weights of 11 persons = Average atimes Number of persons.
So, Sum of weights of 11 persons = 95 kg atimes 11 = 1045 kg.
Step 2: Define variables for the overall average and the 12th person's weight.
Let 'X' be the average weight of all 12 persons.
Let 'W' be the weight of the 12th person.
Step 3: Formulate the relationship involving the 12th person's weight.
According to the problem, the weight of the 12th person (W) is 33 kg more than the average of all 12 persons (X).
This can be written as: W = X + 33.
Step 4: Express the overall average in terms of total weight.
The Sum of weights of all 12 persons = Sum of weights of 11 persons + Weight of 12th person.
So, Sum of weights of all 12 persons = 1045 + W.
The average weight of all 12 persons (X) will be: X = (1045 + W) / 12.
Step 5: Solve the equations to find the weight of the 12th person.
Substitute the expression for X from Step 4 into the equation from Step 3:
W = [(1045 + W) / 12] + 33
To eliminate the fraction, multiply the entire equation by 12:
12W = (1045 + W) + (33 atimes 12)
12W = 1045 + W + 396
12W - W = 1045 + 396
11W = 1441
Finally, solve for W: W = 1441 / 11 = 131 kg.