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

Option 1: 128.75 kg

Option 2: 128 kg

Option 3: 131 kg

Option 4: 97.45 kg


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 9th Jan, 2024

Correct Answer: 131 kg


Solution : Let the average weight of the 12 people be $x$.
Then, the weight of the 12th person is $(x+33)$.
Total weight of all 12 people = $(11×95) + x +33$
Average weight of all 12 people = $\frac{(11×95)+x+33}{12}$
It is given that:
⇒ $x =\frac{(11×95)+x+33}{12}$
⇒ $x =\frac{1045+x+33}{12}$
⇒ $x =\frac{1078+x}{12}$
⇒ $12x=1078+x$
⇒ $11x=1078$
⇒ $x=\frac{1078}{11}$
$\therefore x=98$
$\therefore$ The weight of the 12 th person is = 98 + 33 = 131 kg
Hence, the correct answer is 131 kg.

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