The number of boys enrolled in B.Tech (aerospace) forms, what percent of the total number of girls enrolled in B.Tech (computer science)?

187.5%

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200%

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212.5%

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225%

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232.5%

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Solution

The correct option is D 225%
Number of students in the college =7200
Number of boys = $\frac{7}{12} \times 7200 = 4200$
Number of girls = $\frac{5}{12} \times 7200 = 3000$
Number of student in B.Tech (nano technology)
=22% of 7200=1584
Number of girls in B.Tech (computer science)
=16% of 3000 =480
Number of boys in B.Tech.(mechanical)=18% of 4200 =756
Number of girls in B.Tech (civil) =30% of 480 =144
Number of boys in B.Tech.(electronics) =15% of 4200=630
Number of boys in B.Tech.(computer science)=50% of 480=240
Number of girls in B.Tech.(aerospace) =15% of 3000=4500
Number of boys in B.Tech.(civil) = $\frac{3}{1} \times 144 = 432$
Number of students in B.Tech (electronics) =24% of 7200 =1728
$∴$ Number of girls in B.Tech (electronics) =1728-630=1098
Number of boys in B.Tech.(aerospace) = $\frac{12}{5} \times 450 = 1080$
Number of boys in B.Tech.(nano technology) =Remaining
Number of boys =4200-(756+630+240+432+1080)
=4200-3138=1062
$∴$ Number of girls in B.Tech (nano technology)
=1584-1062=522
Number of girls in B.Tech.(Mechnical)=Remaining
Number of girls =3000-(480+144+450+1098+522)=3000-2694=306
Tabular form of above information is shown below.
$\begin{matrix} S u b j e c t s & N u m b e r o f b o y s & N u m b e r o f g i r l s B . T e c h . (c o m p u t e r s c i e n c e) & 240 & 480 B . T e c h . (m e c h a n i c a l) & 756 & 306 B . T e c h . (c i v i l) & 432 & 144 B . T e c h . (e l e c t r o n i c s) & 630 & 1098 B . T e c h . (a e r o s p a c e) & 1080 & 450 B . T e c h . (n a o n t e c h n o l o g y) & 1062 & 522 T o t a l & 4200 & 3000 \end{matrix}$
Number of boys enrolled in B.Tech.(aerospace)=1080
Number of girls enrolled in B.Tech.(computer science) =480
$∴$ Required percentage = $\frac{1080}{480} \times 100 % = 225 %$

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