Question

Two years ago, when the number of students of a school was increased by 25%, it became 500. Last year, again the number was increased by 20%. How many new students were enrolled in two years​

Answers

  1. Answer:
    200 new students
    Step-by-step explanation:
    Let the number of students enrolled 2 years ago be X
    Then last year because of the increase of 25% it became 500
    Increase of 25% = 0.25X
    Total student population after increase = X + 0.25X = 1.25X
    We know that after the first increase, the number became 500
    So 1.25X = 500, X = 500/1.25 = 400 (number 2 years ago)
    Last year it increased from 500 by 20%. So current number of students = 500 x 1.20 = 600
    Difference between current number and number two years ago gives the number of new students as 600-400 = 200

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