Multiple choice

An average Indian family allocates its monthly income under different heads as follows: Item Percentage share Food $40$ House Rent $15$ Saving $x$ Transport $12$ Miscellaneous $23$ A pie diagram of this data is to be drawn. What is the value of x if the angle which the sector representing saving makes at the centre is $36^{\circ}$?

  1. $13$
  2. $11$
  3. $10$
  4. $8$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The total percentage is 100%. The angle of a sector is (percentage / 100) * 360 degrees. Given the angle for saving is 36 degrees, we have (x / 100) * 360 = 36. Solving for x gives x = 10.

AI explanation

We use the pie chart angle formula where the central angle equals the percentage share multiplied by 3.6. Given that the central angle for savings is 36 degrees, we set up the equation 36 equals 3.6 multiplied by x. Dividing both sides by 3.6 gives us an x value of 10, meaning the savings share is 10 percent.

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