Question

What is the respective ratio between the number of girls who visited Kolkata and number of boys who visited Mumbai?

• A. 22 : 51
• B. 23 : 51
• C. 21 : 55
• D. 51 : 22
• E. None of these

Answer 1

The correct option is A

22 : 51

From the given information we can get

Number of boys $=1200\times \frac{45}{100}=540$

Number of girls $=1200-540=660$

Number of girls visiting Mumbai $=660\times \frac{30}{100}=198$

Number of girls visiting Delhi $=660\times \frac{2}{5}=264$

Number of girls visiting Jodhpur $=\frac{264}{2}=132$

Number of girls visiting Kolkata $=\frac{2}{3}\times (660-198-264-132)=\frac{2}{3}\times 66=44$

Number of girls visiting Varanasi $=660-198-264-132-44=22$

Number of boys visiting Mumbai = Total number of students who visited Mumbai - number of girls visiting Mumbai $=300-198=102$

Number of boys visiting Delhi $=540\times \frac{20}{100}=108$

Number of boys visiting Jodhpur $=540\times \frac{40}{100}=216$

Number of boys visiting Kolkata $=\frac{1}{2}\times (540-102-108-216)=\frac{1}{2}\times 114=57$

Number of boys visiting Varanasi $=540-102-108-216-57=57$

Required ratio $=\frac{44}{102}=22:51$