Multiple choice

The adjoining Pie chart represent the expenditure of a family on different items as Items Food Fuel Clothing Housing Others Value of central angle $220^{\circ}$ $20^{\circ}$ $50^{\circ}$ $60^{\circ}$ $10^{\circ}$ then percentage expenditure in Housing (Approximately) is

  1. 61.1

  2. 16.7

  3. 13.9

  4. 5.5
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B Correct answer
Explanation

Total angle = 360 degrees. Housing angle = 60 degrees. Percentage = (60/360) * 100 = 16.666...% = 16.7%.

AI explanation

To find the percentage expenditure for a category in a pie chart, use the formula (Central Angle / 360 degrees) multiplied by 100. The central angle for Housing is given as 60 degrees. Substituting this into the formula gives (60 / 360) multiplied by 100. This simplifies to 100/6, which is approximately 16.7 percent.

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