Question

# What per cent of the total number of girls in the college know Bengali? 45%48%42%40%50%

Solution

## The correct option is E 50%Number of students studying Dentistry =1600×45100=720 Number of students studying Dentistry =1600×45100=720 Number of students studying Homoeopathy =1600×55100=880 In Dentistry, Number of boy students =720×58=450 Number girl students =720×38=270 In Boys, Know only English =450×16100=72 Know only Hindi =450×10100=45 Know only Bengali =450×4100=18 Know English and Hindi =450×24100=108 Knows English and Bengali =450×20100=90 Know Hindi and Bengali =450×14100=63 Know All three languages =450−(72+45+18+108+90+63)=450−396=54 In Girls, Know only English =270×20100=54 Know only Hindi =270×10100=27 Know only Bengali =10×270100=27 Know English and Hindi =270×20100=54 Know English and Bengali =270×20100=54 Know Hindi and Bengali =270×10100=27 Know all three languages =270−(54+27+27+54+54+27)=270−243=27 In Homoeopathy, Number of boy students =880×411=320 Number of girl students =880×711=560 In Boys, Know only English =20×320100=64 Know only Hindi =15×320100=48 Know only Bengali =5×320100=16 Know English and Hindi =15×320100=48 Know English and Bengali =25×320100=80 Know Hindi and Bengali =10×320100=32 Know All three languages =320−(64+48+16+48+80+32)=320−288=32 In Girls, Know only English =15×560100=84 Know only Hindi =15×560100=84 Know only Bengali =5×560100=28 Know English and Hindi  =560×20100=112 Know English and Bengali =560×20100=112 Know Hindi and Bengali =560×15100=84 Know all three languages =560−(84+84+28+112+112+84)=560−504=56 Required percentage =415830×100=50%

Suggest corrections