The ratio of the number of boys and girls in a class is 5 7 In English the average score of boys is ...........

Quantitative Aptitude (MTS) Ratio, Proportion

The ratio of the number of boys and girls in a class is 5 : 7. In English, the average score of boys is 48 and the average score of

girls is 25% more than that of boys. What is the average score in English of all the boys and girls in the class?

This questions was previously asked in

SSC MTS 26th October 2021 Shift-2

- The ratio of boys to girls in the class is 5:7. This implies that for every 5 boys, there are 7 girls.

- The average score of the boys in English is 48.

- The average score of the girls is 25% more than that of the boys. Therefore, the girls' average score is 48 + (25% of 48) = 48 + 12 = 60.

- To find the overall average score, consider the weightage due to the ratio. Suppose there are 5 boys and 7 girls.

- The weighted sum of scores = (5 boys × 48) + (7 girls × 60) = 240 + 420 = 660.

- Total number of students = 5 + 7 = 12.

- The overall average score = Total sum of scores / Total number of students = 660 / 12 = 55.

- Correct Answer: Option 3, 55

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