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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.

The ratio of the people involved in service to that of industry is-
Total number of people = 20000.

The ratio of the people involved in service to that of industry is-
Solution:
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.

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:
then difference in mathematics = 5%
∵ 100% = 20 hours
∴ 5% = 1 hours

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:
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.

The time spent to study history and chemistry is 4 hours 30 minutes, Then the student studies physics for:

The time spent to study history and chemistry is 4 hours 30 minutes, Then the student studies physics for:
Solution:
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.

If the student studies 10 hours in a day, then he/she studies mathematic for:
∵ 100% = 10 hours
∴ 30% = 3 hours

If the student studies 10 hours in a day, then he/she studies mathematic for:
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.

If then student studies chemistry for 3 hours, then he/she studies geography for:
Time spend in G = 10%
∵ 15% = 3H
∴ 10% = × 10 = 2 hours

If then student studies chemistry for 3 hours, then he/she studies geography for:
Solution:
Time spend in C = 15%Time spend in G = 10%
∵ 15% = 3H
∴ 10% = × 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.

The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses of on saving and rent is:

The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses of on saving and rent is:
Solution:
Average of (food + clothing + miscellanies)
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.

What percent of the total income does the family save.

What percent of the total income does the family save.
Solution:
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.

What is the average of expenses of clothing and rent.

What is the average of expenses of clothing and rent.
Solution:
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.

What is the total monthly income of the family?
∵ 36° = 825
∴ 360° = 825 × 10
= Rs. 8250

What is the total monthly income of the family?
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.

What is the ratio of expenses on food and miscellaneous?

What is the ratio of expenses on food and miscellaneous?
Solution:
Required ratioFood | : | Miscellaneous |
108° | : | 72° |
3 | : | 2 |