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The average weight of first 11 persons among 12 persons is 95 kg. The weight of 12th person is 33 kg more than the average weight of all the 12 persons. The weight of the 12th person is :
Answer & Solution
Correct Answer:
Option
B
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 12th person is = 98 + 33 = 131 kg
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 12th person is = 98 + 33 = 131 kg
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