CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The mean age of a combined group of men and women is 30 years. If the means of the age of men and women are respectively 32 and 27, then the percentage of women in the group is


A
30
loader
B
40
loader
C
50
loader
D
60
loader

Solution

The correct option is D 40
The formula for combined mean is 
¯¯¯x=n1¯¯¯x1+n2¯¯¯x2n1+n2
Given, ¯¯¯x=30,¯¯¯x1=27
Let n1+n2=100 and n1 donates men, n2 denotes women for this n2=100n1
30=32n1+(100n1)2710030=32n1+270027n1100
3002700=32n127n1300=5n1n1=60
So, n2=40
Hence, the percentage of women in the group is 40.
 

Mathematics

Suggest Corrections
thumbs-up
 
1


similar_icon
Similar questions
View More



footer-image