Line Charts

Study the following line graph and answer the questions.

Exports from Three Companies Over the Years (in Rs. crore)

1.

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. 2.  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 = 80 x 100 %  93.33%. 600 7 3.  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.