CAT 2017 Slot 1QA Question 9

PercentageEasy

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:

Answer & solution

  • A

    35

  • B

    50

  • C

    60

  • 65

Solution

Let the number of boys appearing for the admission test be b.
Number of girs appearing for the admission test = 2b.

Total boys who got admission = 45% of b = 0.45b
Total girls who got admission = 30% of 2b = 0.6b
Total students who got admission = 0.45b + 0.6b = 1.05b

∴ Percentage of candidates who get admission = 1.05b2b+b×100% = 35%

∴ 65% of the candidates do not get admission.

Hence, option (d).

CAT 2017 Slot 1 QA Q9: The number of girls appearing for an admission test is twice the number of boys. If 30% of the girls and 45% o — Solution | TheCATExam