Line Charts - Line Chart 1

Directions to Solve

Study the following line graph and answer the questions.

In how many of the given years, were the exports from Company Z more than the average annual exports over the given years?

A.	2
B.	3
C.	4
D.	5

Answer: Option C

Explanation:

Average annual exports of Company Z during the given period

=	1	x (60 + 90 + 120 + 90 + 60 + 80 + 100)
	7

= Rs.		600		crores
		7

= Rs. 85.71 crores.

From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., Rs. 85.71 crores) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.

What was the difference between the average exports of the three Companies in 1993 and the average exports in 1998?

A.	Rs. 15.33 crores
B.	Rs. 18.67 crores
C.	Rs. 20 crores
D.	Rs. 22.17 crores

Answer: Option C

Explanation:

Average exports of the three Companies X, Y and Z in 1993

= Rs.		1	x (30 + 80 + 60)		crores = Rs.		170		crores.
		3					3

Average exports of the three Companies X, Y and Z in 1998

= Rs.		1	x (50 + 100 + 80)		crores = Rs.		230		crores.
		3					3

Difference

= Rs.			230		-		170			crores
			3				3

= Rs.		60		crores
		3

= Rs. 20 crores.

In which year was the difference between the exports from Companies X and Y the minimum?

A.	1994
B.	1995
C.	1996
D.	1997

Answer: Option C

Explanation:

The difference between the exports from the Companies X and Y during the various years are:

In 1993 = Rs. (80 - 30) crores = Rs. 50 crores.

In 1994 = Rs. (60 - 40) crores = Rs. 20 crores.

In 1995 = Rs. (60 - 40) crores = Rs. 20 crores.

In 1996 = Rs. (70 - 60) crores = Rs. 10 crores.

In 1997 = Rs. (100 - 80) crores = Rs. 20 crores.

In 1998 = Rs. (100 - 50) crores = Rs. 50 crores.

In 1999 = Rs. (140 - 120) crores = Rs. 20 crores.

Clearly, the difference is minimum in the year 1996.

Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?

A.	87.12%
B.	89.64%
C.	91.21%
D.	93.33%

Answer: Option D

Explanation:

Analysis of the graph: From the graph it is clear that

The amount of exports of Company X (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively.
The amount of exports of Company Y (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively.
The amount of exports of Company Z (in crore Rs.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively.

Average annual exports (in Rs. crore) of Company Y during the given period

=	1	x (80 + 40 + 60 + 60 + 80 + 100 + 140) =	560	= 80.
	7		7

Average annual exports (in Rs. crore) of Company Z during the given period

=	1	x (60 + 90 + 120 + 90 + 60 + 80 + 100) =		600		.
	7			7

Required percentage =

x 100

93.33%.

	600
	7

For which of the following pairs of years the total exports from the three Companies together are equal?

A.	1995 and 1998
B.	1996 and 1998
C.	1997 and 1998
D.	1995 and 1996

Answer: Option D

Explanation:

Total exports of the three Companies X, Y and Z together, during various years are:

In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.

In 1994 = Rs. (60 + 40 + 90) crores = Rs. 190 crores.

In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.

In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.

In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.

In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.

In 1999 = Rs. (120 + 140 + 100) crores = Rs. 360 crores.

Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.

Line Charts - Line Chart 1

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