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Question
Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°. The amount he spends on food and house rent is ______.
Options
Rs. 5000
Rs. 2500
Rs. 6000
Rs. 9000
Solution
Monthly salary of a person is Rs. 15000. The central angle of the sector representing his expenses on food and house rent on a pie chart is 60°. The amount he spends on food and house rent is Rs. 2500.
Explanation:
We know that,
Central angle of the pie chart = 360°
Central angle of the sector of pie chart = 60°
Monthly salary of a person = Rs. 15000
Part of monthly salary spent on food and house rent = `"Central angle of the sector of pie chart"/"Central angle of the pie chart"`
⇒ Part of monthly salary spent on food and house rent = `(60^circ)/(360^circ)`
⇒ part of monthly salary spent on food and house rent = `1/6`
⇒ Amount of monthly salary spent on food and house rent = `1/6 xx 15000`
⇒ Amount spent on food and house rent = Rs. 2500
Hence, the amount he spends on food and house rent is Rs. 2500.
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