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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?
30%
40%
60%
50%
50%
Calculate the difference (36 - 24 = 12) and express it as a percentage of the girls' count: (12/24) * 100 = 50%.
Number of boys = 36, Number of girls = 24.
Percentage┬аIncrease=(InitialTargetтИТInitialтАЛ)├Ч100
Calculate the difference (36 - 24 = 12) and express it as a percentage of the girls' count: (12/24) * 100 = 50%.
Many students calculate the percentage based on the total number of students (60) instead of the base value of girls (24), leading to an incorrect result of 20%.
Identify the values
We are given that there are 36 boys and 24 girls. The goal is to make the number of girls equal to the number of boys, meaning we need 36 girls.
Required┬аgirls=36,Current┬аgirls=24
Calculate the required increment
The number of additional girls needed is the difference between the number of boys and the number of girls.
36тИТ24=12
Calculate the percentage increase
To find the percentage increase, divide the required increase by the original number of girls and multiply by 100.
Increase┬а%=(2412тАЛ)├Ч100=0.5├Ч100=50%
D is correct because the required increase of 12 girls represents exactly 50% of the initial 24 girls.
This concept of percentage growth is essential for Data Interpretation and Profit/Loss chapters where calculating change relative to the initial value is key.
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