Course Total number of students who have enrolled for the course Percentage of students who have enrolled for the given courses from different colleges P Q R S C++ 2000 26 20 19 35 Java 2400 27 30 25 18 Linux 1500 32 20 25 23 SQ. 1800 24 32 28 16 Coco SD 2800 21 20 21 38 The total number of students who have enrolled for the course on Coco SD from colleges P and R together is what percent more than the total number of students who have enrolled for the same course from college S?
A) $ 11\frac{10}{17}% $
B) $ 11\frac{4}{17}% $
C) $ 12\frac{9}{11}% $
D) $ 10\frac{10}{19}% $
E) $ 9\frac{10}{19}% $
Correct Answer: D
$ \therefore $ Total number of students for Coco SD from college P and R $ =588+588=1176 $ Number of students for Coco SD from college S $ =2800\times \frac{38}{100}=1064 $
$ \therefore $ Required percentage $ =\frac{1176-1064}{1064}\times 100% $ $ =\frac{112\times 100}{1064}=\frac{112\times 25}{266}=\frac{56\times 25}{133} $ $ =\frac{8\times 25}{19}=\frac{200}{19}=10\frac{10}{19}% $