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If the total number of students across all schools in Class X is 500, and School A accounts for 20% of them, how many students are from School A in Class X?
80
100
120
150
100
Use the 10% rule: 10% of 500 is 50. Since we need 20%, simply multiply 50 by 2, which gives 100.
Total number of students in Class X = 500, School A share = 20% of total students.
Number┬аof┬аstudents=Total├Ч100PercentageтАЛ
Use the 10% rule: 10% of 500 is 50. Since we need 20%, simply multiply 50 by 2, which gives 100.
Students often mistake 20% for 20, leading to an incorrect result of 520, or mistakenly divide 500 by 20.
Identify the total and the percentage
The total number of students is 500 and the required portion for School A is 20%.
Total=500,Percentage=20%
Apply the percentage formula
To find the number of students, multiply the total by the fraction form of the percentage, which is 10020тАЛ.
Students=500├Ч10020тАЛ
Final calculation
Simplify the expression by canceling the zeros: 500├Ч10020тАЛ=5├Ч20=100.
500├Ч0.20=100
B is correct because the calculation of 20% of 500 students results in exactly 100 students.
Mastering percentage-to-fraction conversions (e.g., 20%=1/5) is essential for faster Data Interpretation and Profit/Loss problems in competitive exams.