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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Statistics

NDA 2017 · Mathematics · Statistics

The following table gives the monthly expenditure of two families:...

The following table gives the monthly expenditure of two families:
In constructing a pie diagram to the above data, the radii of the circles are to be chosen by which one of the following ratios?

Options

  1. A1:11: 1
  2. B10:910: 9
  3. C100:91100: 91
  4. D5:45: 4

Correct answer

B. 10:910: 9

Step-by-step solution

Total expenditure of A=3,500+500+1,500+2,000+2,500\mathrm{A}=3,500+500+1,500+2,000+ 2,500=10,000Total expenditure of B=2,700+800+1,000+1,800+1,800\mathrm{B}=2,700+800+1,000+1,800+ 1,800=8,100Area of A: Area of B=10,000:8,100=100:81⇒ radius of A: radius of B=100:81=10:9\begin{aligned} & =8,100 \\ & \text{Area of } A: \text{ Area of } B=10,000: 8,100 \\ & =100: 81 \\ & \Rightarrow \text{ radius of } A: \text{ radius of } B=\sqrt{100}: \sqrt{81} \\ & =10: 9\end{aligned}$$
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