The current number of students in a school increases by 10% every year compared to 1331 last year, but what was the number of students in that school three years ago?
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Let the total number of students of the school in the year 1998−1999 be x.
∴ Number of students in the year 1999−2000=x+20% of x=x+
100
20
×x=x+
5
x
=
5
6x
Similarly no. of students in the year 2000−2001=
5
6x
+30% of
5
6x
=
5
6x
+
100
30
×
5
6x
=
50
78x
∴ Effective increase in number of students=
50
78x
−x=
50
28x
Thus, effective percentage increase=
Originalnumberofstudents
Increaseinnumberofstudents
×100=
x
50
28x
×100=56%
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