Consider the following pie graph depicting budget of a family :
[Pie graph image showing sectors A(25%), B(12%), C(18%), D(10%), E(20%), F(15%) labelled with A Food, B Conveyance, C Clothing, D Miscellaneous, E Saving, F House Rent]
How many degrees difference be there in the central angle of the sector for saving and miscellaneous expenses ?
33°
36°
46°
60°
Answer is Right!
Answer is Wrong!
This question was previously asked in
UPSC CAPF – 2014
The percentage for Saving (E) is 20%.
The percentage for Miscellaneous (D) is 10%.
The difference in percentage between Saving and Miscellaneous expenses is 20% – 10% = 10%.
To convert this percentage difference to a difference in central angle (degrees):
Angle difference = (Percentage difference / 100) * 360°
Angle difference = (10 / 100) * 360°
Angle difference = 0.10 * 360°
Angle difference = 36°.
Angle for Saving = (20/100) * 360° = 0.20 * 360° = 72°.
Angle for Miscellaneous = (10/100) * 360° = 0.10 * 360° = 36°.
Difference = 72° – 36° = 36°.