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`37 1/2`% of the candidates in an examination were  girls . 75% of the boys and `62 1/2`% of the girls passed and

342 girls failed . The number of boys failed  was :


Options:
A .  350
B .  360
C .  370
D .  380
Answer: Option D

Let the total number of candidates be `x`. Then, `(100 - 62 1/2)`% of `37 1/2`% of `x`  = 342

`hArr  75/2 xx 1/100 xx 72/2 xx 1/100 xx x =  342  hArr  (9x)/64)=  342  hArr  x =  ((342 xx 64)/(9))` = 2432

Number of boys failed =  (100 - 75)% of  `(100 - 37 1/2)`%   of 2432

                                    =  `(25/100 xx 125/2 xx 1/100 xx 2432)` =   380.



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