Given,

In a group of 100 persons 75 speak English and 40 speak Hindi,

And each person speaks at least one of the two languages,

And the number of persons who speak only English is a and the number of persons who speaks only Hindi is ,

Now from above diagram we can see that,

= 100 - 75 = 25

So, = 75 -(40 -25) = 60

Hence, number of people who speak English only is = 60 and Hindi is = 25,

Now putting the value in given equation of ellipse we get,

Now comparing with we get, a = 12&b = 5

Now we know that,

Eccentricity of ellipse is given by

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