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90% of the students in school passed in English, 85% passed in Mathematics and 150 students passed in both the subjects. If no student failed in both the subjects, find the total number of students

a

120

b

220

c

200

d

300

Answer : Option C
Explanation :

If the total number of students be x, then

x=90x100+85x100150x=\frac{90 x}{100}+\frac{85 x}{100}-150

100x=90x+85x15000\Rightarrow 100 x=90 x+85 x-15000

175x100x=15000\Rightarrow 175 x-100 x=15000

75x=15000x=200\Rightarrow 75 x=15000 \Rightarrow x=200

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