Certain number of people work in three farms. A , B and C . Three are only type farms and each person works in one or more farms. `72%` of people were in farm and people working in only farms C was `(1)/(36)`the of people working in farm A. Number of people working in both B and C but not in Farm A are 55. people working in only farms B are 65 more thn the people working in only farm C.
Number of people working in only farm A is `(160)/(3)%` more than number of people working in farm B.
What is the number of people who working in farm, A but not only in farm ?

Options

A. `205(15)/(17)%`
B. `246(17)/(19)%`
C. `229(09)/(13)%`
D. `257(17)/(19)%`

Answer

D

Explanation

People working in farm A or farm B
`=500-10=490`
People wokring in only farm or only farm A
`rArr 75+115=190`
`% rArr (490)/(190)xx100=257(17)/(19)%`