Multiple choice

The following data gives the distribution of monthly expenses under different heads. Type of Commodity Expenditure (in rupees) Food $300$ Rent $200$ Clothes $125$ Education $110$ Miscellaneous $75$ Savings $90$ A pie chart is drawn for the above data, the angle subtended at the centre for the item 'Rent' will be

  1. $20^{\circ}$
  2. $80^{\circ}$
  3. $85^{\circ}$
  4. $120^{\circ}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total expenditure = 300+200+125+110+75+90 = 900. The angle for Rent is (200 / 900) * 360 degrees = (2/9) * 360 = 80 degrees.

AI explanation

The total expenditure is calculated by adding the individual amounts, giving 300 + 200 + 125 + 110 + 75 + 90 = 900 rupees. The central angle for a specific item in a pie chart is found by multiplying its fraction of the total by 360 degrees. For rent, the central angle equals (200 / 900) * 360 degrees, which simplifies to 80 degrees.

Keep practicing — related questions