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The Gupta family spends their monthly income on different heads as shown in the given pie chart. Study the chart and answer the question that follows. By how much is the central angle of the amount on Misc. and House Rent taken together more than that on Household Expenditure?

The Gupta family spends their monthly income on different heads as shown in the given pie chart. Study the chart and answer the question that follows. By how much is the central angle of the amount on Misc. and House Rent taken together more than that on Household Expenditure? Correct Answer 36º

let the total monthly income is Rs.100

Heads Income
food 20
household Expenditure 17
children's education 22
miscellaneous 11
saving 14
house rent 16

Angle of miscellaneous expenditure = (11/100) × 360

⇒ 39.6° 

Angle of house rent = (16/100) × 360

⇒ 57.6° 

Angle of Household expenditure = (17/100) × 360

⇒ 61.2° 

Total angle of miscellaneous expenditure and house rent = 97.2

Required difference = 97.2°  - 61.2° 

⇒ 36° 

∴ The central angle of the amount on Misc. and House Rent taken together more than that on Household Expenditure is 36° 

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