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150 students are studying English, Maths or both. 62 per cent of students study English and 68 per cent are studying Maths. How many students are studying both? - Mathematics

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Question

150 students are studying English, Maths or both. 62 per cent of students study English and 68 per cent are studying Maths. How many students are studying both?

Sum

Solution

Total students = 150 

Students who study English = 62% of 150

`\implies` `62/100 xx 150` = 93

Students who study Maths = 68% of 150

`\implies` `68/100 xx 150` = 102

Total students studying English or Maths = 93 + 102 = 195

∴ Students who study English and Maths both

`\implies` 195 – 150

`\implies` 45

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Chapter 7: Comparing Quantities - Exercise [Page 218]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 7 Comparing Quantities
Exercise | Q 137. | Page 218

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