Question

The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% of the boys get admission, the percentage of candidates who do not get admission is

• A. 35
• B. 50
• C. 60
• D. 65

Answer 1

The Correct Option is D

Let's determine the percentage of candidates who do not get admission. 

Let the number of boys be x. Therefore, the number of girls is 2x.

The total number of candidates is x + 2x = 3x.

The number of girls getting admission is 30% of 2x:

\(0.30 \times 2x = 0.6x\)

The number of boys getting admission is 45% of x:

\(0.45 \times x = 0.45x\)

The total number of candidates getting admission is \(0.6x + 0.45x = 1.05x\).

The number of candidates who do not get admission is \(3x - 1.05x = 1.95x\).

The percentage of candidates who do not get admission is:

\(\frac{1.95x}{3x} \times 100\)% = \(65%\)

Thus, the percentage of candidates who do not get admission is 65%.