SSC CPO 2019 PYQ — Question 129

SSC CPO Tier I - 11th December 2019 - Shift 2 • Quantitative Aptitude • Q129

The average weight of the boys in a class is 69.3 kg and that of the girls in the same class is 59.4 kg. If the average weight of all the boys and girls in the class is 63.8 kg, then the percentage of the number of boys in the class is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 

Understanding Application
Tricks

Let the total number of boys and girls is x and y.

So

⇒ 63.8(x + y) = 69.3x + 59.4y

⇒ 63.8x + 63.8y = 69.3x + 59.4y

⇒ 63.8y - 59.4y = 69.3x - 63.8x 

⇒ 4.4y = 5.5x

⇒ x/y =  4.4/5.5

Now

x/y = 4/5

So

Percentage = 100/9 × 4

=