Quantitative Aptitude Ques 264

Question: The average age of boys in the class is twice the number of girls in the class. The ratio of boys and girls in the class of 50 is 4: 1. What is the total of the ages (in years) of the boys in the class? [NICL (AO) 2014]

Options:

A) 2000

B) 2500

C) 800

D) 400

E) 500

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let total age of boys in the class be x yr. Now, number of boys in the class $ =\frac{4}{(4+1)}\times 50=\frac{4}{5}\times 50=40 $

$ \therefore $ Number of girls $ =50-40=10 $ Now, according to the question, $ \frac{x _1+x _2+…+x _{40}}{40}=2\times 10 $

$ \Rightarrow $ $ x _1+x _2+…+x _{40}=800 $

$ \Rightarrow $ $ x=800 $ Hence, total age of boys in the class is 800 yr.

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