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Question

What per cent of the total number of girls in the college know Bengali?
  1. 45%
  2. 48%
  3. 42%
  4. 40%
  5. 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)=450396=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)=270243=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)=320288=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)=560504=56
Required percentage =415830×100=50%

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