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Question

In a class, there are 36 boys and 24 girls. By what percentage should the number of girls be increased so that it becomes equal to the number of boys?

The correct answer is
50%

Boys vs Girls Class Numbers

This problem requires calculating the percentage increase needed for the number of girls to become equal to the number of boys in a class.

  • Number of boys: 36
  • Number of girls: 24

Percentage Increase Calculation

To find the percentage increase, we first determine the difference in numbers and then calculate this difference as a percentage of the original number of girls.

  1. Calculate the difference between the number of boys and girls:

    Difference = Number of boys - Number of girls

    Difference = 36 - 24 = 12

    This means 12 more girls are needed.

  2. Calculate the percentage increase required:

    The formula for percentage increase is:

    Percentage Increase = \( \frac{\text{Required Increase}}{\text{Original Number of Girls}} \times 100\% \)

    Substitute the values:

    Percentage Increase = \( \frac{12}{24} \times 100\% \)

    Simplify the fraction:

    Percentage Increase = \( \frac{1}{2} \times 100\% \)

    Calculate the final percentage:

    Percentage Increase = 50%

Therefore, the number of girls must be increased by 50% to equal the number of boys.

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Important Questions from Percentage

  1. In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?

  2. What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?

  3. Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?

  4. The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:

  5. In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;

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