Here are the solutions to the questions based on the given pie chart:
a) Find the total monthly expenditure.
Step 1: Determine the total angle in a circle.
The total angle in a pie chart is 360∘.
Step 2: Use the given conversion factor to find the total expenditure.
Given that 1∘ represents Rs. 200.
Total monthly expenditure = Total angle × Value per degree
Total monthly expenditure = 360∘×Rs.200/degree
Totalmonthlyexpenditure=360×200
Totalmonthlyexpenditure=72000
The total monthly expenditure is Rs. 72,000.
The final answer for part (a) is Rs.72,000.
b) Find expenditure amount on food and on the hotel and then compare between them.
Step 1: Identify the angle for Food expenditure from the pie chart.
Angle for Food = 18∘.
Step 2: Calculate the expenditure on Food.
Expenditure on Food = Angle for Food × Value per degree
Expenditure on Food = 18∘×Rs.200/degree
ExpenditureonFood=18×200
ExpenditureonFood=3600
The expenditure on Food is Rs. 3,600.
Step 3: Identify the angle for Hotel expenditure from the pie chart.
Angle for Hotel = 144∘.
Step 4: Calculate the expenditure on Hotel.
Expenditure on Hotel = Angle for Hotel × Value per degree
Expenditure on Hotel = 144∘×Rs.200/degree
ExpenditureonHotel=144×200
ExpenditureonHotel=28800
The expenditure on Hotel is Rs. 28,800.
Step 5: Compare the expenditure on Food and Hotel.
To compare, we can find the difference between the two expenditures.
Difference = Expenditure on Hotel - Expenditure on Food
Difference=28800−3600
Difference=25200
The expenditure on Hotel is Rs. 25,200 more than the expenditure on Food.
The final answer for part (b) is:
Expenditure on Food: Rs.3,600
Expenditure on Hotel: Rs.28,800
Comparison: The expenditure on Hotel is Rs. 25,200 more than on Food.
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