Introduction to Data Interpretation


Direction: The following pie–chart shows the monthly expenditure of a family on various items. If the family spends $ 825 on clothing, answer the questions.

  1. What is the average of expenses on clothing and rent?









  1. View Hint View Answer Discuss in Forum

    On the basis of given pie chart in question ,
    Corresponding angle for clothing = 36°
    Corresponding angle for rent = 90°
    Given that , Total expenditure = $ 8250

    Expenditure on clothes and rent =
    8250 × (36° + 90°)
    360°

    Correct Option: A

    On the basis of given pie chart in question ,
    Corresponding angle for clothing = 36°
    Corresponding angle for rent = 90°
    Given that , Total expenditure = $ 8250

    Expenditure on clothes and rent =
    8250 × (36° + 90°)
    360°

    Expenditure on clothes and rent =
    8250 × 126
    = $ 2887.5
    360

    ∴ Average expenditure =
    2887.5
    = $ 1443.75
    2


  1. What is the ratio of expenses on food and miscellaneous?









  1. View Hint View Answer Discuss in Forum

    As per the given pie chart in question , we have
    Corresponding angle for food = 108°
    Corresponding angle for miscellaneous = 72°
    Required ratio = Corresponding angle for food : Corresponding angle for miscellaneous

    Correct Option: C

    As per the given pie chart in question , we have
    Corresponding angle for food = 108°
    Corresponding angle for miscellaneous = 72°
    Required ratio = Corresponding angle for food : Corresponding angle for miscellaneous
    Required ratio = 108 : 72 = 3 : 2


  1. What percent of the total income does the family save?









  1. View Hint View Answer Discuss in Forum

    As per the given pie chart in question ,
    Corresponding angle for total expenditure = 360°
    Percent of total expenditure = 100%
    Corresponding angle for savings = 54°
    ∵ 360° ≡ 100%

    ∴ Required percent =
    Percent of total expenditure
    × Corresponding angle for savings
    Corresponding angle for total expenditure

    Correct Option: A

    As per the given pie chart in question ,
    Corresponding angle for total expenditure = 360°
    Percent of total expenditure = 100%
    Corresponding angle for savings = 54°
    ∵ 360° ≡ 100%

    ∴ Required percent =
    Percent of total expenditure
    × Corresponding angle for savings
    Corresponding angle for total expenditure

    ∴ Required percent ≡
    100
    × 54 = 15%
    360


  1. What is the total monthly income of the family?









  1. View Hint View Answer Discuss in Forum

    On the basis of given pie chart in question ,
    Given that , Expenditure on clothes = Rs. 825.
    The corresponding angle of total expenditure = 360°
    The corresponding angle of expenditure on clothes = 36°
    ∵ 36° ≡ $ 825

    ∴ Total monthly income =
    Expenditure on clothes
    × The corresponding angle of total expenditure
    The corresponding angle of expenditure on clothes

    Correct Option: B

    On the basis of given pie chart in question ,
    Given that , Expenditure on clothes = Rs. 825.
    The corresponding angle of total expenditure = 360°
    The corresponding angle of expenditure on clothes = 36°
    ∵ 36° ≡ $ 825

    ∴ Total monthly income =
    Expenditure on clothes
    × The corresponding angle of total expenditure
    The corresponding angle of expenditure on clothes

    ∴ Total monthly income =
    825
    × 360 = & 8250
    36


Direction: The Expenditure of a family in a month is represented by a Pie-chart. Read it carefully to answer the questions.

  1. If the total amount spent is $ 7,200, find the amount spent on food :









  1. View Hint View Answer Discuss in Forum

    On the basis of given pie chart in question , Corresponding angle for expense on food = 150°
    Total expenditure amount = $ 7200
    Corresponding angle for total expenditure = 360°
    ∵ 360° ≡ $ 7200

    ∴ Expenditure on food = $Total expenditure amount × Corresponding angle for expense on food
    Corresponding angle for total expenditure

    Correct Option: D

    On the basis of given pie chart in question , Corresponding angle for expense on food = 150°
    Total expenditure amount = $ 7200
    Corresponding angle for total expenditure = 360°
    ∵ 360° ≡ $ 7200

    ∴ Expenditure on food = $Total expenditure amount × Corresponding angle for expense on food
    Corresponding angle for total expenditure

    ∴ Expenditure on food = 150° ≡ $7200× 150 = $ 3000
    360