SSC CPO 2019 PYQ — Question 117

SSC CPO Tier I - 11th December 2019 - Shift 1 • Quantitative Aptitude • Q117

The total number of students in section A and B of a class is 72. The ratio of the number of students in A and B is 7 : 5. The average weight (in kg) of the students in section B is 20% more than that of the students in section A. If the average weight of all the students in the class is 52 kg, then what is the average weight (in kg) of the students in section B?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 57.6

Understanding

Application

The total number of students in section A and B of a class is 72. The ratio of the number of students in A and B is 7 : 5.

So,

Number of students in section A = 72 × 7/12 = 42

And

Number of students in section B = 72 × 5/12 = 30

Suppose the average weight of students is section A = x

So,

The average weight of students is section B = 1.2x

Since the average weight of all the students in the class is 52 kg.

So,

42x + 30 × 1.2x = 52 × 72

78x = 3744

x = 48

 

So,

Average weight (in kg) of the students in section B

= 1.2 × 48 = 57.6