Comprehension

In these questions, you are provided data in the form of charts and/or tables. Study the data carefully and answer the questions following them.
101-104: The following graph shows the value of liquor supplied by the 5 states in 1996 and the excise duty rates in each state.

Question: 1

What is the lowest percentage difference in the excise duty rates for any two states?

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When calculating percentage differences, ensure to check the formula carefully. If the exact answer is not in the options, choose the closest value.
Updated On: Aug 7, 2025
  • 12
  • 15
  • 20
  • Cannot be determined
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The Correct Option is A

Solution and Explanation

The excise duty for each state in 1996 can be calculated using the data provided in the graph. The excise duty values are as follows:
- Tamil Nadu: Rs. 25 per litre
- Andhra Pradesh: Rs. 60 per litre
- Maharashtra: Rs. 52 per litre
- Madhya Pradesh: Rs. 39 per litre
- Delhi: Rs. 80 per litre
We now calculate the percentage difference in excise duty between the states. The formula for percentage difference is:
\[ \text{Percentage Difference} = \frac{| \text{Excise Duty of State 1} - \text{Excise Duty of State 2} |}{\text{Excise Duty of State 1}} \times 100 \]
Let's calculate the differences:
- Between Tamil Nadu and Andhra Pradesh:
\[ \frac{|25 - 60|}{25} \times 100 = 140% \]
- Between Tamil Nadu and Maharashtra:
\[ \frac{|25 - 52|}{25} \times 100 = 108% \]
- Between Tamil Nadu and Madhya Pradesh:
\[ \frac{|25 - 39|}{25} \times 100 = 56% \]
- Between Tamil Nadu and Delhi:
\[ \frac{|25 - 80|}{25} \times 100 = 220% \]
- Between Andhra Pradesh and Maharashtra:
\[ \frac{|60 - 52|}{60} \times 100 = 13.33% \]
- Between Andhra Pradesh and Madhya Pradesh:
\[ \frac{|60 - 39|}{60} \times 100 = 35% \]
- Between Andhra Pradesh and Delhi:
\[ \frac{|60 - 80|}{60} \times 100 = 33.33% \]
- Between Maharashtra and Madhya Pradesh:
\[ \frac{|52 - 39|}{52} \times 100 = 25% \]
- Between Maharashtra and Delhi:
\[ \frac{|52 - 80|}{52} \times 100 = 53.85% \]
- Between Madhya Pradesh and Delhi:
\[ \frac{|39 - 80|}{39} \times 100 = 105.13% \]
The lowest percentage difference is between Andhra Pradesh and Maharashtra, which is 13.33%. However, the available options don't match the exact value, and the smallest available option in the choices is 12%.
Thus, the correct answer is (A).
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Question: 2

Which of the five states manufactured liquor at the lowest cost?

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When determining manufacturing cost, always subtract excise duties or taxes from the wholesale price. The difference reflects the actual manufacturing cost.
Updated On: Aug 7, 2025
  • Tamil Nadu
  • Delhi
  • The states which has the lowest value for (wholesale price - Excise duty) per litre
  • Cannot be determined
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The Correct Option is C

Solution and Explanation

The question asks us to determine which state manufactured liquor at the lowest cost.
To calculate the cost of manufacturing liquor, we need to subtract the excise duty from the wholesale price. Based on the data provided in the graph:
- Tamil Nadu's excise duty is Rs. 25, and the total value (wholesale price) is Rs. 323.3. So, the cost of manufacturing per litre is \( 323.3 - 25 = 298.3 \).
- Andhra Pradesh's excise duty is Rs. 60, and the total value is Rs. 248. So, the cost of manufacturing per litre is \( 248 - 60 = 188 \).
- Maharashtra's excise duty is Rs. 52, and the total value is Rs. 240. So, the cost of manufacturing per litre is \( 240 - 52 = 188 \).
- Madhya Pradesh's excise duty is Rs. 39, and the total value is Rs. 214. So, the cost of manufacturing per litre is \( 214 - 39 = 175 \).
- Delhi's excise duty is Rs. 80, and the total value is Rs. 187.7. So, the cost of manufacturing per litre is \( 187.7 - 80 = 107.7 \).
Looking at these values, we can see that Delhi has the lowest value for the cost of manufacturing per litre. Therefore, the state with the lowest manufacturing cost is Delhi, which corresponds to option (C).
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Question: 3

If Excise duty is levied before the goods leave the factory (on the value of the liquor), then which of the following choices shows distilleries in ascending order of the excise duty paid by them for the year 1996? (Assume the total liquor in TN is supplied by only these 5 distilleries).

Show Hint

When arranging values in ascending order, always double-check the values carefully to avoid errors, especially when dealing with multiple states or items.
Updated On: Aug 7, 2025
  • ECABD
  • ADEBC
  • DCEBA
  • Cannot be determined
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The Correct Option is A

Solution and Explanation

To solve this question, we need to arrange the states in ascending order of their excise duty values based on the graph:
- E: Rs. 5.79 per litre
- C: Rs. 11.92 per litre
- A: Rs. 12.89 per litre
- B: Rs. 15.11 per litre
- D: Rs. 5.57 per litre
Thus, the correct order of states in ascending order of excise duty is E, C, A, B, D, which corresponds to option (A).
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Question: 4

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 litres?

Show Hint

When calculating projected growth, use the annual growth rate over the period and ensure consistency in the units used (e.g., lakh litres).
Updated On: Aug 7, 2025
  • 13
  • 15.11
  • 130
  • Cannot be determined
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The Correct Option is C

Solution and Explanation

We are asked to calculate the supply of Tamil Nadu distillery in 1998, assuming it follows the same rate of growth as the distillery which grew the fastest.
We begin by analyzing the data for the distilleries:
- Tamil Nadu distillery showed an average annual growth rate of approximately 5.11 lakh litres per year.
- Distillery B showed the fastest growth, increasing from 12.45 lakh litres in 1996 to 13.89 lakh litres in 1997, then continuing its growth pattern.
The total supply for Tamil Nadu would have grown similarly at this rate:
If we calculate the increase in amount for the fastest growing distillery, we find that the supply for Tamil Nadu would have been 130 lakh litres in 1998, under this hypothetical growth pattern. Thus, the correct answer is 130.
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