Comprehension
The line graphs given below show the sale of three brands of soft drinks (bottles in millions) in the period 1998-2003. Refer to the graphs to answer the questions that follow.
Question: 1
Each case contains 24 bottles and the average selling price per bottle is Rs.9. If there is an excise duty of Rs.16 per case, what is the total excise duty collected in the year 2003 from the three products?
Each case contains 24 bottles and the average selling price per bottle is Rs.9. If there is an excise duty of Rs.16 per case, what is the total excise duty collected in the year 2003 from the three products?
Show Hint
Always ensure to convert the total units appropriately and apply the unit costs or duties as required by the problem's context.
Updated On: Mar 10, 2025
- 2.8 crores
- 1.03 crores
- 2.32 crores
- 2.7 crores
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The Correct Option is B
Solution and Explanation
The calculation starts with the total number of cases sold, which is derived from the number of bottles sold across three products. Given the quantities in millions and the conversion factor from bottles to cases, we calculate:
\[
\text{Total number of cases} = \left(\frac{6.2 + 6.3 + 3.0}{24}\right) \times 10^5 = 64583.34 \text{ cases}
\]
Now, applying the excise duty per case:
\[
\text{Excise Duty} = 64583.34 \times 16 = 1.0333 \text{ crores}
\]
Rounding this to two decimal places gives us:
\[
\text{Excise Duty} = 1.03 \text{ crores}
\]
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Question: 2
From the graph over the given period, which drink in which year has shown the highest percentage growth in sale over the previous year?
From the graph over the given period, which drink in which year has shown the highest percentage growth in sale over the previous year?
Show Hint
To calculate percentage growth, subtract the number of bottles sold in the previous year from the number sold in the current year, then divide by the number sold in the previous year.
Updated On: Mar 10, 2025
- Peach, 1999
- Lemon, 2001
- Peach, 2002
- Lemon, 2000
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The Correct Option is D
Solution and Explanation
From the graph, the highest percentage growth in sale is shown by Lemon in 2000, with a sharp increase in the number of bottles sold.
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Question: 3
In the year 2004, the ratio of the sale of the three drinks happens to be the same as that in 1998. What should be the approximate total sale of drinks of the three brands in the year 2004, if the sale of Litchi increased by 10% over the previous year?
In the year 2004, the ratio of the sale of the three drinks happens to be the same as that in 1998. What should be the approximate total sale of drinks of the three brands in the year 2004, if the sale of Litchi increased by 10% over the previous year?
Show Hint
To calculate total sales with a percentage increase, multiply the original sales by 1 plus the percentage increase.
Updated On: Mar 10, 2025
- 15 million
- 8 million
- 10 million
- 5 million
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The Correct Option is A
Solution and Explanation
The ratio of the sales in 1998 was given as:
\[
\text{Peach} : \text{Lemon} : \text{Litchi} = 2.1 : 1.5 : 1.0
\]
The sale of Litchi increased by 10% in 2004. Hence, the increase in Litchi’s sale is:
\[
10% \text{ increase in Litchi} = \frac{3 \times 110}{100} = 3.3%
\]
The total sale of drinks will still follow the same ratio. We now calculate the total sale by considering the increase in Litchi’s sale. To account for this, we find the total by using the formula:
\[
10% = 3.3
\]
Now,
\[
1% = \frac{3.3}{10}
\]
Then, the total sale is:
\[
\text{Total Sale} = \frac{3.3}{10} \times 4.6 = 15.18 \text{ million (approx.)}
\]
Thus, the approximate total sale of the three drinks in 2004 is 15 million.
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Question: 4
Each case contains 24 bottles and average selling price per bottle is Rs.9. If the three brands of drinks command a market share of 80%, then what was the total industry size in year 2003?
Each case contains 24 bottles and average selling price per bottle is Rs.9. If the three brands of drinks command a market share of 80%, then what was the total industry size in year 2003?
Show Hint
To find the total market size, divide the total sales by the market share percentage.
Updated On: Mar 10, 2025
- 17.5 crores
- 20 crores
- 420 crores
- 560 crores
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The Correct Option is A
Solution and Explanation
The total number of bottles sold in 2003 is 15.5 million, and the average selling price per bottle is Rs.9. The total cost for the three brands of drinks is:
\[
\text{Total cost} = 15.5 \times 9 = 139.5 \text{ million}
\]
Now, considering the market share of the three brands is 80%, the total industry size is:
\[
\text{Industry size} = \frac{15.5 \times 9}{80} \times 100 = 17.5 \text{ crores}
\]
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Question: 5
In the year 2004, Peach records 40% growth in sale while Lemon sale grows by 25% over the previous year. What is the difference in the sale of these brands in year 2004?
In the year 2004, Peach records 40% growth in sale while Lemon sale grows by 25% over the previous year. What is the difference in the sale of these brands in year 2004?
Show Hint
For growth-related questions, use the formula \( \text{New Sales} = \text{Original Sales} \times (1 + \text{Growth Percentage}) \) to calculate the difference.
Updated On: Mar 10, 2025
- 2.1 million bottles
- 0.8 million bottles
- 1.6 million bottles
- 2.4 million bottles
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The Correct Option is B
Solution and Explanation
The sale of Peach in 2004 increased by 40%, and the sale of Lemon increased by 25%. We calculate the sales of these two brands in 2004 based on the given growth rates.
Step 1: Calculate the growth in sales for Peach.
The sales of Peach in 2004 is calculated as:
\[
\text{Peach Sales in 2004} = 6.2 \times \frac{140}{100} = 8.68 \text{ million bottles}
\]
Step 2: Calculate the growth in sales for Lemon. The sales of Lemon in 2004 is calculated as: \[ \text{Lemon Sales in 2004} = 6.3 \times \frac{125}{100} = 7.875 \text{ million bottles} \]
Step 3: Calculate the difference in sales. The difference in the sales between Peach and Lemon in 2004 is: \[ \text{Difference} = 8.68 - 7.875 = 0.8 \text{ million bottles} \]
Step 2: Calculate the growth in sales for Lemon. The sales of Lemon in 2004 is calculated as: \[ \text{Lemon Sales in 2004} = 6.3 \times \frac{125}{100} = 7.875 \text{ million bottles} \]
Step 3: Calculate the difference in sales. The difference in the sales between Peach and Lemon in 2004 is: \[ \text{Difference} = 8.68 - 7.875 = 0.8 \text{ million bottles} \]
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