Maharashtra State BoardHSC Science (General) 11th
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From amongst 2000 literate individuals of a town, 70% read Marathi newspapers, 50% read English newspapers and 32.5% read both Marathi and English newspapers. Find the number of individuals who read - Mathematics and Statistics

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Sum

From amongst 2000 literate individuals of a town, 70% read Marathi newspapers, 50% read English newspapers and 32.5% read both Marathi and English newspapers. Find the number of individuals who read at least one of the newspapers

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Solution

Let M = set of individuals who read Marathi newspapers

E = set of individuals who read English newspapers

X = set of all literate individuals

∴ n(X) = 2000, n(M)

= `70/100xx2000`

= 1400

n(E) = `50/100xx2000` = 1000

n(M ∩ E) = `32.5/100xx2000` = 650

n(M ∪ E) = n(M) + n(E) − n(M ∩ E)

= 1400 + 1000 − 650

= 1750

No. of individuals who read at least one of the newspapers = n(M ∪ E) = 1750.

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