Question

The average weight of the first 11 people in a group of 12 people is 95 kg. If the weight of the 12th person is 33 kg more than the average weight of the whole group, the weight of the 12th person in kg is:

Answer 1

Step-by-step explanation:

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 12 persons is :

[A]97.45 kg

[B]128 kg

[C]128.75 kg

[D]131 kg

131 kg

Let the weight of 12th person be x kg.

∴ Average weight of 12 persons is = \frac{11\times 95+x}{12}\ kg

According to the question,

=> \frac{11\times 95 + x}{12} + 33 = x

=> 1045 + x + 396 = 12x

=> x = \frac{1441}{11} = 131\ kg

Hence option [D] is correct answer.