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

Answer 1

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.