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

A. `1:1`
B. `10:9`
C. `100:91`
D. `5:4`

Answer

B

Explanation

`"Total expenditure of A"=3,500+500+1,500+2,000+2,500`
`=10,000`
`"Total expenditure of B"=2,700+800+1,000+1,800+1,800`
`=8,100`
`"Area of A : Area of B"=10,000:8,100`
`=100:81`
`rArr " radius of A : radius of B"=sqrt(100):sqrt(81)`
`=10:9`