CMAT 2019 Solved Question Paper

Let the number of men be 'm' and number of women be 'w' in the class.
Given Average score of men = 70
⇒ Total score of men number of men = 70
⇒ Total score of men = 70 × m
Also, Average score of women = 83
⇒ Total score of women number of women = 83
⇒ Total score of women = 83 × w
Given the class average = 76
⇒ (Total score of men + Total score of women) (number of men + number of women)
⇒

70×m+83×w

m+w

=76
Let the ratio of number of men to women

m

w

=k
⇒70k+83=76k+76
⇒6k=7
⇒k=7:6
Hence the ratio of men to women in the class is 7 : 6.