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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. Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;

  2. The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:

  3. The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.

  4. The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:

  5. The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:

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