# PRENCENTILE QUESTION37 1/2% OF THE CANDIDATES IN AN EXAMINATIONWERE GIRLS. 75% of the boys & 62 1/2 % of the girls passed & 342 girls failed. The number of boys failed was A)...

PRENCENTILE QUESTION

37 1/2% OF THE CANDIDATES IN AN EXAMINATIONWERE GIRLS. 75% of the boys & 62 1/2 % of the girls passed & 342 girls failed. The number of boys failed was

A) 350 B)360 C)370 D)380

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Expert Answers

beckden | Certified Educator

##### This means 37.5% of the girls failed. 100%-62.5%=37.5%

So 342=37.5%(Total # of girls taking test)

So Total # of girls taking the test = 342/(0.375)=912 Girls took the test.

Now 37.5% of the candidates taking the test were girls so,

912=37.5% * Total # taking test

So Total # taking the test = 912/(0.375)=2432

Since 37.5% of the candidates were girls then 62.5% of the candidates were boys.

So Total # of boys taking the test were 62.5%*2432 = 0.625(2432)=1520

Finally since 75% of the boys passed the test, 25% failed so

25% of 1520 = 0.25*1520=380

So the answer is 380.