SarkariPYQ

SSC Selection Post 2022 PYQ — Question 60

SSC Selection Post - Matriculation Level - 10 Feb 2022 - Shift 1 • Quantitative Aptitude • Q60

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The ratio of the number of boys and girls in a class is 3: 5. The average score in English of all the boys and girls is 67.5. If the average score of the boys is 60, then what is the average score of the girls?

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Correct answer: D

Explanation

The correct answer is Option 4 i.e. 72.

Let the average score of girls = G

According to the question,

⇒ 3x×60+5x×G3x+5x{3x\times60+5x\times G}\over3x+5x = 67.5

⇒ 180x+5Gx8x{180x+5Gx}\over8x = 67.5

⇒ 180+5G8{180+5G}\over8 = 67.5

⇒ 180 + 5G = 540

⇒ 5G = 360

⇒ G = 72