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The following data gives the distribution of monthly expenses under different heads.

Type of Commodity
Expenditure (in rupees)
Food
300
Rent
200
Clothes
125
Education
110
Miscellaneous
75
Savings
90

Now if a pie chart is drawn for the above data, then find the angle subtended at the centre for the item 'Rent'.

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20^{\circ}

80^{\circ}

85^{\circ}

120^{\circ}

answer is B.

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Detailed Solution

Given is the data about expenditure under various heads.

Type of Commodity	Expenditure (in rupees)
Food	300
Rent	200
Clothes	125
Education	110
Miscellaneous	75
Savings	90

Sum of expenditure

= Rs . 300 + Rs . 200 + Rs . 125 + Rs . 110 + Rs . 75 + RS . 90

\Rightarrow

Sum of expenditure

= Rs . 900

So,

Rs . 900

is equivalent to

360^{\circ} .

\Rightarrow Re . 1

is equivalent to

\frac{360^{\circ}}{900} .

\Rightarrow Rs . 200

is equivalent to

\frac{360}{900} \times 200

\Rightarrow Rs . 200

is equivalent to

40 \times 2

\Rightarrow Rs . 200

is equivalent to

80^{\circ}

So, item Rent subtends

80^{\circ}

at the center of the pie chart.
Hence, the correct option is 2.

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The following data gives the distribution of monthly expenses under different heads.Type of CommodityExpenditure (in rupees)Food300Rent200Clothes125Education110Miscellaneous75Savings90Now if a pie chart is drawn for the above data, then find the angle subtended at the centre for the item 'Rent'.

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