The total number of students in sections A and B ofa class is 72 The ratio of the number of students...........

Quantitative Aptitude (CPO) Average

The total number of students in sections A and B ofa 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 studentsin section A.If the average weight of all the students in

the class is 52 kg, then whatis the average weight (in kg) of the students in section B?

This questions was previously asked in

SSC CPO 11th Dec 2019 Shift-1

58.2

57.9

57.6

56.4

- There are 72 students in total, distributed between sections A and B in a 7:5 ratio.

- Let the number of students in section A be 7x and in section B be 5x. Thus, 7x + 5x = 72, which simplifies to x = 6.

- Hence, there are 42 students in section A and 30 students in section B.

- The average weight of all students is given as 52 kg.

- Let the average weight for section A be W. Then the average for section B is 1.2W.

- Setting up the equation: \( (42W + 30(1.2W)) / 72 = 52 \).

- This equation simplifies to \( 42W + 36W = 72 * 52 \).

- Solving for W gives \( 78W = 3744 \), so \( W = 48 \).

- Thus, the average weight for section B is \( 1.2 * 48 = 57.6 \).

- Correct Answer: Option 3, 57.6

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