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81.  Study the pie- chart carefully and answer the questions. The pie- chart represents the percentage of people involved in various occupations.
Total number of people = 20000.
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The ratio of the people involved in service to that of industry is-

Discuss
Solution:
=Service SectorIndustry=2030=2:3
82.  The following pie- chart shows the study- time of different subject of a student in a day. Study the pie chart and answer the following questions.
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Instead of 10%, if the students spends 15% to study other subjects and the time is taken from the time scheduled to study mathematics and if he/she used to study 20 hours per day, then their difference of time for study mathematics per day is:

Discuss
Solution:
Extra time taken = 15% - 10% = 5%
then difference in mathematics = 5%
∵ 100% = 20 hours
∴ 5% = 1 hours
83.  The following pie- chart shows the study- time of different subject of a student in a day. Study the pie chart and answer the following questions.
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The time spent to study history and chemistry is 4 hours 30 minutes, Then the student studies physics for:

Discuss
Solution:
Time spend in H + C=(15+15)%=30%Time spend in P = 20%30%=412H=92H1%=92×30HSo, 20%=92×2030H=3 HoursSo 20%=320×20=3 Hours
84.  The following pie- chart shows the study- time of different subject of a student in a day. Study the pie chart and answer the following questions.
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If the student studies 10 hours in a day, then he/she studies mathematic for:

Discuss
Solution:
Time spend in mathematics = 30%
∵ 100% = 10 hours
∴ 30% = 3 hours
85.  The following pie- chart shows the study- time of different subject of a student in a day. Study the pie chart and answer the following questions.
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If then student studies chemistry for 3 hours, then he/she studies geography for:

Discuss
Solution:
Time spend in C = 15%
Time spend in G = 10%
∵ 15% = 3H
∴ 10% = 315 × 10 = 2 hours
86.  The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing answer the questions.
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The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses of on saving and rent is:

Discuss
Solution:
Average of (food + clothing + miscellanies)
=108°+36°+72°3=72°Avg. of (saving + rent)=90°+54°2=72°Required ratio=72°:72°=1:1
87.  The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing answer the questions.
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What percent of the total income does the family save.

Discuss
Solution:
Total expenditure=360°Saving=54°Required %=54360°×100=15%
88.  The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing answer the questions.
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What is the average of expenses of clothing and rent.

Discuss
Solution:
Average of (clothing + rent)=36°+90°2=63°360°=Rs. 825063°=8250360×63=Rs. 1443.75
89.  The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing answer the questions.
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What is the total monthly income of the family?

Discuss
Solution:
Expenditure on cloth = 825
∵ 36° = 825
∴ 360° = 825 × 10
            = Rs. 8250
90.  The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing answer the questions.
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What is the ratio of expenses on food and miscellaneous?

Discuss
Solution:
Required ratio
Food   :   Miscellaneous
108°   :   72°
3   :   2