(θ‿θ)QUESTION(θ‿θ)
In an examination 2000 students appeared out of which 800 were girls. If 80% of the girls and 70% of the boys passed the examination, find the percentage of students who failed the examination ?
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Answers
Solution :
Total number of students = 2000
Number of girls = 800
Then, numbers of boys
= 2000 - 800 = 1200
Thus, number of girls to pass in exam
= 80 % of 800
= (80/100) * 800
= 80 * 8
= 640
and number of boys to pass in exam
= 70 % of 1200
= (70/100) * 1200
= 70 * 12
= 840
Then, number of girls to fail in exam
= 800 - 640
= 160
and number of boys to fail in exam
= 1200 - 840
= 360
Therefore, total number of students failing in exam
= 160 + 360
= 520
Hence, the percentage of students failing in exam is
= 520/2000 * 100 %
= 26 % ( Ans. )
Step-by-step explanation:
Total students= 2000
No.of girls=800
No.of boys=2000 - 800 =1200
Pass percentage of boys = 70%
Pass percentage of girls = 80%
No.of boys passed =70%
= 1200×70÷100
= 840
No.of girls passed = 80%
= 800×80÷100
=640
Total pass = 840+640
= 1480
Fail = 2000-1480
= 520
Fail percentage= 520×100÷2000
= 26%