Question : The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increases by 20%. What is the age of the servant?
Option 1: 52 Years
Option 2: 56 years
Option 3: 50 years
Option 4: 48 years
Correct Answer: 48 years
Solution :
Given: The average age of 6 members of a family is 20 years. If the age of the servant is included, the average age increases by 20%.
Let the age of the servant be $x$.
According to the question,
$6×20+x=7×\frac{120}{100}×20$
⇒ $x=168-120$
⇒ $x=48$
Hence, the correct answer is 48 years.
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