Question

The average weight of $8$ persons increases by $2.5kg$ when a new person comes in place of one of them weighing$65kg$. What might be the weight of the new person ?

• A. $76kg$
• B. $85kg$
• C. $76.5kg$
• D. Data inadequate

Answer 1

The correct option is B

$85kg$

Explanation for correct answer.

We have,

Total number of person $=8$

Increased in average weight $=2.5kg$

So, the total weight increased $=8\times 2.5kg=20kg$

Now,

Weight of replaced person$=65kg$

So, the Weight of a new person is

$$\begin{gathered} =65+\left(8\times 2.5\right) \\ =65+20 \\ =85kg \end{gathered}$$

Thus, the Weight of a new person is $85kg$

Hence, option B is correct.