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

22 : 51

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23 : 51

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21 : 55

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51 : 22

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None of the above

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Solution

The correct option is A 22 : 51
From the given information, we can get the following table:-
$\begin{matrix} C i t y & B o y s & G i r l s = 120 \times 45 % = 540 & 660 D e l h i & 540 \times 20 % = 108 & 660 \times \frac{2}{5} = 264 K o l k a t a & [540 - (102 + 108 + 216)] / 2 = 57 & [(660 - (264 + 198 + 132)] \times \frac{2}{3} = 44 V a r a n a s i & 57 & 660 - (264 + 198 + 132 + 44) = 22 M u m b a i & 300 - 198 = 102 & 660 \times 30 % = 198 J o d h p u r & 540 \times 40 % = 216 & \frac{264}{2} = 132 \end{matrix}$
Required ratio $= \frac{44}{102} = \frac{22}{51} o r 22 : 51$

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