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
- 35
- 50
- 60
- 65
The Correct Option is D
Solution and Explanation
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%.
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