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Average monthly expenses (in rupees) incurred by a family are as shown in the chart.   What is the value of the central angle corresponding
Question

Average monthly expenses (in rupees) incurred by a family are as shown in the chart.  

What is the value of the central angle corresponding to the amount spent on recreation? 

A.

12°

B.

13.5°

C.

14.5°

D.

15° 

Correct option is B

Solution:
The total amount is then:
Total = Travel + Food + Medicine + Education + clothing + Recreation + Pet + Saving + Incidentals
Total = 7000 + 12000 + 8000 + 20000 + 4000 + 3000 + 5000 + 15000 + 6000 = 80000
The Recreation as a proportion of the total amount are:
3000/80000=3/80
Therefore, the current angle for Recreation on pie chart is :
3/80 x 360 = 13.5°
Hence, Option (b) is true.

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