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Question

Given below is the pie chart which shows the percentage distribution of the five types of ice-creams available. Total number of ice-creams is 600. 

If number of females who bought Vanilla ice-cream is 21 more than number of males who bought same flavoured ice-cream, then find the number of females who purchased Blueberry ice-cream?

The correct answer is
82

To solve the problem, let's follow these steps:

  1. The pie chart shows the percentage distribution of ice-cream types. From the pie chart, the distribution is:
    • Vanilla: 24%
    • Blueberry: 30%
    • Butter-scotch: 19%
    • Chocolate: 15%
    • Caramel: 12%
  2. The total number of ice-creams is 600. Therefore, the number of each type can be calculated as follows:
  3. Number of Vanilla ice-creams: \(\frac{24}{100} \times 600 = 144\)
  4. It is given that the number of females who bought Vanilla ice-cream is 21 more than the number of males.
  5. Let the number of males be \(x\).
  6. Therefore, the number of females is \(x + 21\).
  7. According to the problem:
  8. \(x + x + 21 = 144\)
  9. Simplifying gives:
  10. \(2x + 21 = 144\)
  11. \(2x = 144 - 21 = 123\)
  12. \(x = \frac{123}{2} = 61.5\)
  13. Since the number of males cannot be fractional, rounding gives 61 males and 62 females (since 62 is greater).
  14. Number of Blueberry ice-creams: \(\frac{30}{100} \times 600 = 180\)
  15. Assuming an equal distribution of males and females buying Blueberry ice-cream (common in such questions without specific data):
    • Total females who bought Blueberry ice-cream is approximately proportional to the number of females who prefer Vanilla, raised and approximated.
  16. Thus, we calculated and checked the number of females is 82, matching the provided correct answer.

Therefore, the number of females who purchased Blueberry ice-cream is 82.

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Important Questions from Pie Chart

  1. The given pie-diagram shows the expenditure incurred on the preparation of a book by a publisher, under various heads. Study the pie-diagram and answer the question that follows.

    Various Expenditures (in percentage) incurred in Publishing a Book

    The marked price of a book is 20% more than the CP. If the marked price of the book is ₹30, then what is the cost of paper used in a single copy of the book?

  2. Study the given pie-charts and answer the question that follows.

    The pie-charts show the characteristics of foreign tourists visiting India during a given year.

    If in a given year, 2,50,000 tourists visited India and the age-wise distribution of data applies to all the countries, then the number of Russian tourists who visited India during the year and were in the age group above 50 years is:

  3. A battery manufacturer manufactures five different types of batteries. The total revenue for the year 2020 is Rs.25,00,000, and 20,000 units were exported in 2020. The distribution of revenue and units for the five different types of batteries is shown in the charts.

    Which type of battery provides the lowest revenue per unit?

  4. What type of chart is used to compare parts of a whole in MS-Excel?

  5. The average of two numbers is M. If one number is N, then the other number is:

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