Question

In an examination, the percentage of students qualified to the number of students appeared from school $A$ is $70\%$. In school $B$, the number of students appeared is $20\%$ more than the students appeared from school $A$ and the number of students qualified from school $B$ is $50\%$ more than the students qualified from school $A$. What is the percentage of students qualified to the number of students appeared from school $B$?

• A. $30\%$
• B. $70\%$
• C. $78.5\%$
• D. $87.5\%$

Answer 1

The correct option is D $87.5\%$

Let, no. of students appeared from school $A=100$

Then, no. of students qualified from school $A=70$

No. of students appeared from school $B=120$

No. of students qualified from school $B=\frac{150}{100}\times 70=105$

The required percentage is $=\frac{105}{120}\times 120=87.5\%$