150 students are studying English, Math or both. 62 per cent of the students are studying English and 68 percent are studying Math. How many students are studying both?
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Question.
150 students are studying English, Math or both. 62 per cent of the students are studying English and 68 percent are studying Math. How many students are studying both?
Solution :
Method I
Total number of Students = 150
Number of Students studying English = 62% of 150
= 150 x 68/100
= 102
Number of Students studying Math's = 68% of 150
= 150 x 62/100
= 93
∴ Number of Students studying Both
= English + Math's - Total students
= (102 + 93) - 150
= 195 - 150
= 45
Ans. 45 students studying Both Math's & English.
Method II
Total number of Students = 150
Percentage of Students studying English = 62%
Percentage of Students studying Math's = 68%
∴ Percentage of Students studying Both
= ( English % ) + ( Math's % ) - ( Total % )
= (62% + 68%) - 100%
= 130% - 100%
= 30%
Now,
Number of Students studying Both
= 30% of 150
= 150 x (30/100)
= 45
Ans. 45 students studying Both Math's & English.
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