Instructions

 The following graph shows the value of liquor supplied by the 5 states in 1996 and the excise duty rates in each state.


Amount of liquor supplied in Tamil Nadu Distilleries A, B, C, D, E (from bottom to top) in lakh litres.



 

Question 54

If the Tamil Nadu distillery, with the least average simple annual growth in amount of liquor supplied in the given period had shown the same rate of growth as the one which grew fastest, what would that company's supply have been in 1998, in lakh liters?

Solution

Average simple annual growth of the distilleries are-

A->$$\frac{12.89-6.41}{2\times6.41}\times100=50.54$$%
B->$$\frac{12.07-3.15}{2\times3.15}\times100=141.58$$%
C->$$\frac{11.92-1.64}{2\times1.64}\times100=313.41$$%
D->$$\frac{5.79-1.05}{2\times1.05}\times100=225.71$$%

E->$$\frac{4.21-2.45}{2\times2.45}\times100=35.91$$%

We can see that the highest growth rate was in C and lowest in E.
So, if E would have grown by 313.41% in 2 years, its supply would have been-

$$\frac{2.45\times 313.41\times 2}{100}=15.11$$ lts


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