Multiple choice

The average age of a group of men and women is $30$ years. If average age of men is $32$ and that of women is $27$, then the percentage of women in the group is

  1. $60$
  2. $50$
  3. $40$
  4. $30$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let m be men and w be women. (32m + 27w) / (m+w) = 30. 32m + 27w = 30m + 30w. 2m = 3w. m/w = 3/2. Women percentage = w / (m+w) = 2 / (3+2) = 2/5 = 40%.