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Solve Problems:

1.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?

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

= 1/7 (80 + 40 + 60 + 60 + 80 + 100 + 140)

= 560/7

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

= 1/7 *(60 + 90 + 120 + 90 + 60 + 80 + 100)

= 600/7

Required percentage = (560/7)/(600/7) * 100 %

= 93.33 %

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

Average annual exports of Company Z during the given period

= 1/7 * (60 + 90 + 120 + 90 + 60 + 80 + 100)

= 600/7

= 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.