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Mathematics

Mr. Mirza's monthly income is ₹ 7,200. He spends ₹ 1,800 on rent, ₹ 2,700 on food, ₹ 900 on education of his children, ₹ 1,200 on other things and saves the rest.

Draw a pie-chart to represent it.

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Answer

Steps:

  1. Since the angle about the center of a circle is 360°, divide 360° in proportion to the given data. In this question, divide 360° in proportion 1,800 : 2,700 : 900 : 1,200 to obtain the corresponding central angles.

  2. Make a table as given.

Monthly spendsRupees (Rs.)Central Angles
Rent1,8001,8007,200×360°\dfrac{1,800}{7,200} \times 360° = 90°
Food2,7002,7007,200×360°\dfrac{2,700}{7,200} \times 360° = 135°
Education9009007,200×360°\dfrac{900}{7,200} \times 360° = 45°
Other1,2001,2007,200×360°\dfrac{1,200}{7,200} \times 360° = 60°
Savings6006007,200×360°\dfrac{600}{7,200} \times 360° = 30°
Total7,200360°
  1. Draw a circle of any suitable radius.

  2. For each central-angle, draw a sector.

Mr. Mirza's monthly income is ₹ 7,200. He spends ₹ 1,800 on rent, ₹ 2,700 on food, ₹ 900 on education of his children, ₹ 1,200 on other things and saves the rest. Data Handling, Concise Mathematics Solutions ICSE Class 8.

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