Question

A survey of 1000 farmers found that 600 grew paddy,350 grew ragi,280 grew corn,120 grew paddy and ragi,100 grew ragi and corn,80 grew paddy and corn.If each farmer grew at least any one of the above three,then find the number of farmers who grew all the three

Answer 1

We analyze the question as follows ;

1) Paddy only = Total growing paddy - those growing paddy and ragi - those growing paddy and corn

= 600 -120-80 = 400

2) Ragi only = Total growing ragi - paddy and ragi - ragi and corn

= 350 - 120 - 100 = 130

3) Corn only = Total growing corn - corn and ragi - corn and paddy

= 280 - 100 - 80 = 100

4) Paddy and Corn = 80

5) Paddy and Ragi = 120

6) Ragi and Corn = 100

This sums up to :

400 + 130 + 100 + 120 + 80 + 100 = 930

The total farmers were 1000

This means the remaining planted all the 3.

All the three = 1000 - 930 = 70