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1. Study the following graph carefully and answer the questions given below:
Total Number of Students Appeared and Qualified from Various Schools at a Scholarship Exam.

The average number of students qualified in the examination from Schools C and D is what percent of the average number of students appeared for the examination from the same school? ( round off to 2 digits after decimal).

A. 58.62%

B. 73.91%

C. 62.58%

D. 58.96%

Solution:

Average number of students qualified from C and D

\begin{aligned} = \frac{1}{2} (2250 + 2000) \\ = \frac{4250}{2} \\ = 2125 \end{aligned}

Average number of students appeared from C and D

\begin{aligned} = \frac{1}{2} (3250 + 2500) \\ = \frac{5750}{2} \\ = 2875 \\ ∴ Required % \\ = (\frac{2125}{2875} \times 100) % \\ = (\frac{85}{115} \times 100) % \\ = \frac{1700}{23} % \\ = 73.91 % \end{aligned}

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