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Hrishikesh Ujwal Shukla
Asked: 2022-11-09T05:41:46+05:30 In:

The average pass percentage of girls in class XII examination in a school is 80 and that of boys is 75. The average pass percentage in class XII of that school is 76.5. Find the percentage of the number of boys in class XII of the school.
1. 72%
2. 60%
3. 70%
4. 65%

The average pass percentage of girls in class XII examination in a school is 80 and that of boys is 75. The average pass percentage in class XII of that school is 76.5. Find the percentage of the number of boys in class XII of the school.
1. 72%
2. 60%
3. 70%
4. 65%
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1 Answer

  1. Correct Answer – Option 3 : 70%

    Given:

    Average pass percentage of girls in class XII examination = 80%

    Average pass percentage of boys in class XII examination = 75%

    Average pass percentage in class XII of that school = 76.5%

    Calculation:

    Let the number of girls and boys be x and y respectively

    According to the question,

    80x + 75y = 76.5 × (x + y)

    ⇒ 80x + 75y = 76.5x + 76.5y

    ⇒ 3.5x = 1.5y

    ⇒ 7x = 3y

    ⇒ x : y = 3 : 7

    Percentage of number of boys in school = (7/10) × 100%

    ⇒ 70%

    ∴ The percentage of the number of boys in class XII of the school is 70%

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