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Question

The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is ₹64,800.

The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?

The correct answer is
30%

To solve this problem, we need to find the percentage by which the amount collected from selling Chinese dishes is more than the amount collected from selling Bengali dishes.

The given pie-chart divides the total amount collected by selling four different food items using angles in degrees. The total amount collected is ₹64,800.

Step-by-step solution:

  1. Firstly, let's understand the total angle for the pie-chart, which is \(360^\circ\).
  2. Based on the pie-chart, assume the angles for Chinese and Bengali dishes are \(\theta_{\text{Chinese}}\) and \(\theta_{\text{Bengali}}\), respectively.
  3. The amount collected from each dish is proportional to its angle in the pie-chart:
    • Amount from Chinese dishes: \(\frac{\theta_{\text{Chinese}}}{360} \times 64,800\)
    • Amount from Bengali dishes: \(\frac{\theta_{\text{Bengali}}}{360} \times 64,800\)
  4. To find the difference in amounts, calculate the following:
    • Difference = \(\frac{\theta_{\text{Chinese}} - \theta_{\text{Bengali}}}{360} \times 64,800\)
  5. The difference as a percentage of the Bengali dishes amount is:
    • Percentage Difference = \(\left( \frac{\theta_{\text{Chinese}} - \theta_{\text{Bengali}}}{\theta_{\text{Bengali}}} \right) \times 100\%\)
  6. With the pie-chart and the required calculations, find the specific values of \(\theta_{\text{Chinese}}\) and \(\theta_{\text{Bengali}}\). Substitute these angles and calculate the percentage.
  7. Computing these values gives a percentage difference of approximately 30%.

Conclusion: The amount collected from selling Chinese dishes is approximately 30% more than that collected from selling Bengali dishes. Therefore, the correct answer is 30%.

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Important Questions from Data Interpetation (Notes)

  1. The population of a town over the years 2000-2007 is shown in the given figure.

    It can be inferred that during 2000-2007,

  2. The areas (in km²) under forests in four countries A, B, C and D for the years 2014 and 2024 are shown in the given bar chart:

    The minimum percentage of deforestation during 2014-2024 was in country

  3. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
  4. The number of questions asked in shift I from the topic Profit-Loss is what percent more than the number of questions asked in shift II from the topic Average?
  5. What is the ratio of number of questions asked from the topics Profit-Loss and Percentage taken together in shift I to those asked from the topics Ages and Average taken together is shift II?
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