Average age of 6 members of a family is 20, years. If age of a servant is included, average age incr

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The average age of $6$ members of a family is $20\, years.$ If the age of a servant is included, the average age increased by $25 \%$. What is the age (in $years$) of the servant ?

A

$30$

B

$35$

C

$50$

D

$55$

Solution

$25 \%(20)=5$

Age of Servant $\Rightarrow \frac{6 \times 20+S}{7}=25$

$120+ S =175$

$S=55$

Standard 13

Quantitative Aptitude

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