A had double the money of B and B has 50% more money than C. If average money of all the three persons is 12000, how much money A have ?

Options

A. `(211000)/(11)`
B. `(315000)/(11)`
C. `(216000)/(11)`
D. `(316000)/(11)`

Answer

C

Explanation

(c ) Let the money of C be x.
According to the question,
Total money of B `=x+x+50%=x+(50x)/(100)=(3x)/(2)`
Total money of A`=2 xx (3x)/(2)=3x `
Average money of three persons =1200
`:.` Total money of three `12000 xx3`
`(6x+3x+2x)/(2)=36000`
`3x=(3xx 7200)/(11)`
`:. x=(36000 xx 2)/(11)=(72000)/(11)`
Now, money of A
`=3x=3 xx (72000)/(11)=(216000)/(11)`