All Exams Test series for 1 year @ ₹349 only
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.

Was this answer helpful?

Important Questions from Percentage

  1. A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?

  2. Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?

  3. What is 12% of 4% of 7% of 2 × 10 6 ?

  4. Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?

  5. If X is 12.25% more than Y. then Y is approximately_____ less than X.

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App