Instructions

The given graph shows the performance of the students of schools A, B, C, D, E and F in a Board Examination. Study the graph and answer the questions that follow.

Question 72

The ratio of boys and girls who passed from school B is 3 : 4 and it is 11 : 12 for the students who passed from school C. The total number of students who passed with distinction from schools D, E and F is what percentage more than the total number of boys who passed from school B and C?

Solution

School   Total   Passed   Distinction    Without distinction      Failed
A             800          640          300                    340                         160
B            1050         840           350                    490                         210
C            1200         920           450                    470                         280
D              750         600           260                    340                         150
E              900         750           330                    420                          150
F             1500        1000         450                     550                         500

We are given that the 840 students who passed in B, the boy to girl ratio is 3:4, which gives us 360 boys and 480 girls in B.
Similarly, we are given that of the 920 students who passed in C, the boy to girl ratio is 11:12, which gives us 440 boys and 480 girls in C.
And now we can calculate the total number of boys who passed from B and C, 800 boys.

Next. the total number of students who passed with distinction from D, E and F are $$260+330+450=1040$$

the ratio of these students to the boys from B&C is $$\frac{1040}{800}=1.3$$
Which tells us that there are 30% more students who passed with distinction from D,E and F when compared to the number of boys from B&C.

Therefore, Option B is the correct answer.