ABHYAS PREP: DATA INTERPRETATION · DATA INTERPRETATION

Pie chart: amounts, ratios and central angles

A pie chart shows shares of a total. Amount = share% × total; central angle = share% × 3.6°; the ratio of two heads is the ratio of their percentages.

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Worked examples

Example 1 · level 1

The pie chart shows how the Iyer family spends its monthly income of ₹1,20,000. How much is spent on Food?

  1. ₹1,500
  2. ₹5,000
  3. ₹6,000
  4. ₹18,000
Show solution
  1. Food = 15% of ₹1,20,000.
  2. = 15 × 1,20,000 ÷ 100 = ₹18,000.

Answer: ₹18,000

Example 2 · level 2

In the pie chart of the Khan family’s spending, what is the central angle of the Education sector?

  1. 27°
  2. 36°
  3. 18°
  4. 5°
Show solution
  1. Angle = 5% × 360° ÷ 100.
  2. = 5 × 3.6 = 18°.

Answer: 18°

Example 3 · level 3

the Khan family has a monthly income of ₹50,000. By how much does the spending on Rent differ from the spending on Others?

  1. ₹20
  2. ₹5,000
  3. ₹10,000
  4. ₹20,000
Show solution
  1. Difference = 10% − 30% = 20% of the income.
  2. = 20 × 50,000 ÷ 100 = ₹10,000.

Answer: ₹10,000

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