Average weight of 8 persons increases by 2.5, kg when a new person comes in place of one of them wei

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

A

$76$

B

$76.5$

C

$85$

D

$85.5$

Solution

Let the weight of new person be $x kg$.

Weight of person replaced $=65 kg$

Weight of new person $=$ Weight of replaced person $+$ old number of persons $\times$ change in average

$x=65+8 \times 2.5$

$=85 kg$

Standard 13

Quantitative Aptitude

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