Study the table and answer the question that follows.  

Production of grains in Indian States( in lakh tonnes)

​$$\begin{array}{|c|c|c|}\hline\textbf{State} & \textbf{2015} & \textbf{2018} \\\hline\text{Maharashtra} & 120 & 150 \\\hline\text{Karnataka} & 115 & 90 \\\hline\text{Himachal Pradesh} & 125 & 95 \\\hline\text{Kerala} & 85 & 65 \\\hline\text{Tamil Nadu} & 90 & 115 \\\hline\end{array}$$​​

Which state has maximum percentage change in the production of gains between the year 2015 and 2018 ?

Correct option is C

Given: ​

​$$\begin{array}{|c|c|c|}\hline\textbf{State} & \textbf{2015} & \textbf{2018} \\\hline\text{Maharashtra} & 120 & 150 \\\hline\text{Karnataka} & 115 & 90 \\\hline\text{Himachal Pradesh} & 125 & 95 \\\hline\text{Kerala} & 85 & 65 \\\hline\text{Tamil Nadu} & 90 & 115 \\\hline\end{array}$$​​

​Formula Used: 

​$$\text{Percentage Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100$$ 

Solution:

1. Maharashtra:

2015 value: 120

2018 value: 150

Percentage Change:

​$$\frac{150 - 120}{120} \times 100 = 25\%$$ 

Increase of 25%.

2. Karnataka:

2015 value: 115

2018 value: 90

Percentage Change:

​$$\frac{90 - 115}{115} \times 100 = -21.74\%$$ 

Decrease of 21.74%.

3. Himachal Pradesh:

2015 value: 125

2018 value: 95

Percentage Change:

​$$\frac{95 - 125}{125} \times 100 = -24\%$$ 

Decrease of 24%

4. Kerala:

2015 value: 85

2018 value: 65

Percentage Change:

​$$\frac{65 - 85}{85} \times 100 = -23.53\%$$ 

Decrease of 23.53%

5.Tamil Nadu:

2015 value: 90

2018 value: 115

Percentage Change:

​$$\frac{115 - 90}{90} \times 100 = 27.78\%$$ 

Increase of 27.78%.

Thus maximum percentage change in the production of gains between the year 2015 and 2018 is in Tamil Nadu. 

150−120120×100=25%\frac{150 - 120}{120} \times 100 = 25\%

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