In which of the following year the increase in number of students over the previous year was maximum

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Direction: Study the following graph carefully to answer these questions. Number of students in College A and College B over the years.

What is the approximate percentage rise in the number of students of College B from 2005 to 2006?

Given :- Number of students of College B in year 2005 = 65000Number of students of College B in year 2006 = 70000Total increase in the number of students of College B from 2005 to 2006 = Number of students of College B in year 2006 - Number of students of College B in year 2005= 70000 - 65000 = 5000∴ percentage rise in the number of students of College B from 2005 to 2006

=	Total increase in the number of students of College B from 2005 to 2006	x 100 %
Number of students of College B from 2005

=	5000	x 100 % = 7.69% ≈ 8%
65000

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.

For which year, the percentage rise/fall in the number of students who left the school compared to the previous year is maximum?

A.	1997
B.	1998
C.	1999
D.	2000

Answer: Option A

Explanation:

The percentage rise/fall in the number of students who left the school (compared to the previous year) during various years are:

For 1997 =		(450 - 250)	x 100		% = 80% (rise).
250

For 1998 =		(450 - 400)	x 100		% = 11.11% (fall).
450

For 1999 =		(400 - 350)	x 100		% = 12.5% (fall).
400

For 2000 =		(450 - 350)	x 100		% = 28.57% (rise).
350

For 2001 =		(450 - 450)	x 100		% = 0%.
450

Clearly, the maximum percentage rise/fall is for 1997.

The strength of school incresed/decreased from 1997 to 1998 by approximately what percent?

A.	1.2%
B.	1.7%
C.	2.1%
D.	2.4%

Answer: Option B

Explanation:

Important data noted from the given graph:

In 1996 : Number of students left = 250 and number of students joined = 350.

In 1997 : Number of students left = 450 and number of students joined = 300.

In 1998 : Number of students left = 400 and number of students joined = 450.

In 1999 : Number of students left = 350 and number of students joined = 500.

In 2000 : Number of students left = 450 and number of students joined = 400.

In 2001 : Number of students left = 450 and number of students joined = 550.

Therefore, the numbers of students studying in the school (i.e., strength of the school) in various years:

In 1995 = 3000 (given).

In 1996 = 3000 - 250 + 350 = 3100.

In 1997 = 3100 - 450 + 300 = 2950.

In 1998 = 2950 - 400 + 450 = 3000.

In 1999 = 3000 - 350 + 500 = 3150.

In 2000 = 3150 - 450 + 400 = 3100.

In 2001 = 3100 - 450 + 550 = 3200.

Percentage increase in the strength of the school from 1997 to 1998

=		(3000 - 2950)	x 100		% = 1.69% 1.7%.
2950

Page 2

Study the following line graph which gives the number of students who joined and left the school in the beginning of year for six years, from 1996 to 2001.

Initial Strength of school in 1995 = 3000.