Question

The line graph shows the percentage of students passing in 10th and 12 board exams from 5 different schools. Study the graph carefully to answer questions.
Q. If the ratio of students who passed in 10th from school B and the students who failed in 12th from school D was 16:3, then total students who wrote 12th from school D were what percent more or less than those students who wrote 10th from school B

• A. $53\frac{1}{8}\%$
• B. $53\frac{4}{5}\%$
• C. $45\frac{2}{7}\%$
• D. $50\frac{2}{5}\%$
• E. $52\frac{1}{8}\%$

Answer 1

The correct option is A $53\frac{1}{8}\%$

The total students who wrote 10th exam from school B =X
The total students who wrote 12th exams from school D = Y
$\frac{75X}{30Y}=\frac{16}{3}\frac{X}{Y}=\frac{32}{15}\frac{X}{Y}-\frac{15}{32}\text{The reuqired percentage}=\frac{32-15}{32}\times 100=53\frac{1}{8}\%$