SSC CGL 2024 PYQ — Question 66

SSC CGL - 18 Sep 2024 - Shift 1 • Quantitative Aptitude • Q66

In a constituency, 45% of the total number of voters are males and the rest are females. If 60% of the males are illiterate and 60% of the females are literate, then by what percent is the number of illiterate females more than that of literate males?
(Rounded off to 2 decimal places)

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 22.22%.

Let the total number of voters be 100

45% are males = 100 × 45/100 = 45

Illiterate males = 60% of 45 = 27

Literate males = 45 - 27 = 18

Now,

55% are females = 100 × 55/100 = 55

Literate females = 60% of 55 = 33

Illiterate females = 55 - 33 = 22

The number of illiterate females is more than that of literate males = 22 - 18 = 4

Required% = 4/18 × 100 = 22.22%

Thus, the number of illiterate females is 22.22% more than that of literate males.