in an examination 2000 students appeared out of which 800 are girls if 80% of the girls and 70% of the boys passed the examination find the percentage of students who failed in the examination
Answers
Answer:
26% students fail in exam
520 students
80% grl i.e 640
70% boys i.e 840
=2000-(640+840)=520
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Step-by-step explanation:
Given
The appearance of candidates in the exam was 2000
Out of the 2000, no. of girl candidates were 800.
There are 80% girls and 70% boys passed the exam
To find :
Percentage of students who failed in the examination
Solution :
The no. of boys in the examination = Total candidates - No. of girls candidates
= 2000 - 800
= 1200
The no. of boys candidates is 1200
The no. of girls who passed the exam = 800 × 80 ÷100
= 640
The no. of boys who passed the exam = 1200 × 70 ÷ 100
= 840
Now,
Total no. of the candidates who passed the exam = Total no. of girls who passed the exam + total no. of boys who passed the exam
= 640 + 840
= 1480
The no. of candidates who failed in the exam = Total no. of candidates - Total no. of candidates who passed the exam
= 2000 - 1480
= 520
Now,
The percentages of students who failed in the exam = Total no. of students who failed in the exam × 100 ÷ Total no. of candidates
= 520 × 100 ÷ 2000
= 26%
Thus,
26% students failed in the examination.