Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Statistics
0 votes

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

$\begin {array} {1 1} (A)\;30 & \quad (B)\;40 \\ (C)\;50 & \quad (D)\;60 \end {array}$

Can you answer this question?

1 Answer

0 votes
Let there be $x$ women out of 100 persons.
$\Rightarrow$ No. of men $=100-x$
Given that Mean of combined age of men and women =30
$ \therefore \large\frac{32(100-x)+27x}{100}$ $=30$
$\Rightarrow\: 32 ( 100-x) + 27x=30 \times 100$
$\Rightarrow\: 3200-32x+27x=3000$
$\Rightarrow\: -5x=3000-3200$
$\Rightarrow\: -5x=-200$
$\Rightarrow\: x = \large\frac{-200}{-5}$
or $ x = 40$
Ans : (B)
answered Jan 26, 2014 by thanvigandhi_1
edited Mar 26, 2014 by rvidyagovindarajan_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App