Question
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 ?
Answer: Option A Answer: (a)
Total candidates = 1000 + 800 = 1800
The candidates who are passed
= $1000 × 60/100 + 800 × 50/100$
= 600 + 400 = 1000
The number of candidates who failed = 1800 – 1000 = 800
Required percent = $800/1800 × 100 = 44.4%$
Using Rule 25,
Percentage of passed students = $({B.b + G.g}/{B + G})%$
= ${1000 × 60 + 800 × 50}/{1000 + 800}$
= ${60000 + 40000}/1800$
= $100000/1800 = 500/9 = 55.5$
Percentage of failed students = 100 – 55.5 = 44.4%
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