In a school, every student offers either Hindi or English or both. 50·8% offer Hindi and 64·2% offer English. If the total number of students is 500, how many students offer both Hindi and English?

Explanation

Venn diagram showing sets for Hindi, English, and their intersection labeled with variables According to question $(50.8\% - x) + x +(64.2\% - x) = 100\%$ $50.8\% - x + x + 64.2\% - x = 100\%$ $115.0\% - x = 100\%$ $x = 15\%$ Now the number of students who offer both Hindi and English $= 500 \times \frac{15}{100} = 75$ Student