Quiz 4

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.

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)=1/7 (560)=80
Average annual exports (in Rs. crore) of Company Z during the given period
=1/7 (60 + 90 + 120 + 90 + 60 + 80 + 100)=1/7 (600)
Required percentage=80/(600/7)×100

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 exports of the three Companies X, Y and Z in 1993
=Rs.1/3 (60+80+30)crores=Rs.170/3
Average exports of the three Companies X, Y and Z in 1998
= Rs.1/3 (50+100+80)crores=Rs.230/3
Difference = 230/3-170/3
= Rs 20 Crores

Average annual exports of Company Z during the given period
= 1/7 (60 + 90 + 120 + 90 + 60 + 80 + 100) = 1/7 (600)
= 85.71 Crores