In an examination, there were 1000 boys and 800 girls. 60%

In an examination, there were 1000 boys and 800 girls. 60% of the boys and 50% of the girls passed. Find the percent of the candidates failed ?

Total candidates
= 1000 + 800 = 1800
The candidates who are passed

= 100 ×	60	+ 800 ×	50	%
	100		100

= 600 + 400 = 1000
The number of candidates who failed = 1800 – 1000 = 800
∴ Required percent

=	800	× 100 = 44.4%
	1800

Aliter : Using Rule 25,
Percentage of passed students

=		B.b + G.g		%
		B + G

=	1000 × 60 + 800 × 50
	1000 + 800

=	60000 + 40000
	1800

=	100000
	1800

=	500	= 55.5
	9

∴ Percentage of failed students
= 100 – 55.5 = 44.4%