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The pie chart given below shows the amount spent by a family on 6 articles. Amount spent on a particular article is shown as a percentage amount spent on all these 6 articles. Which of the following statement(s) is/are correct? I. Total central angle formed by the sectors of A and C is 126 degrees. II. If the amount spent on E is 13200, then the total amount spent on B and F is 28800.

The pie chart given below shows the amount spent by a family on 6 articles. Amount spent on a particular article is shown as a percentage amount spent on all these 6 articles. Which of the following statement(s) is/are correct? I. Total central angle formed by the sectors of A and C is 126 degrees. II. If the amount spent on E is 13200, then the total amount spent on B and F is 28800. Correct Answer Both I and II

Given:

Sector A = 12%

Sector B = 14%

Sector C = 23%

Sector E = 11%

Sector F = 10%

Formula used:

I. Total percent of pie chart = 360 Degree

II. K percent = K/100

Calculations:

For statement (I)

Total central angle = (angle formed by sector A + angle formed by sector C)

Total central angle = (12% of 360 + 23% of 360)

Total central angle =

Total central angle = = 126 degree

For statement (II)

Amount spent on E = 13200

11% = 13200

1% = (13200/11) = 1200

Total amount spent = amount spent on

Total amount spent =

Total amount spent = = 28800

Hence, both statement is correct.

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