Delhi Police Constable Exam Model Paper 3

GIVEN:
Ratio of male to female employees in an office is 5 : 3.
Ratio of male employees that live on rent to their own home is 4 : 1.
And
Ratio of female employees that live on rent to their own home is 1 : 2.
CONCEPT:
Basic Ratio concept.
CALCULATION:
Let number of male employees that live on rent and on their own home is ‘4x’ and ‘x’ respectively
And
Number of female employees that live on rent and on their own home is ‘y’ and ‘2y’ respectively.
According to the question:
$\left(4\mathit{x}+\mathit{x}\right):\left(\mathit{y}+2\mathit{y}\right)=5:3$
⇒ x = y
Hence,
Required ratio = $\left(4\mathit{x}+\mathit{y}\right):\left(\mathit{x}+2\mathit{y}\right)=5:3$
Alternate Method
Let number of male and female be 500 and 300.
Now, the number of male employees that live on rent = 500 × (4/5) = 400
Number of male employees that live on their own home = 500 × (1/5) = 100
Now, the number of female employees that live on rent = 300 × (1/3) = 100
And, the number of female employees that live on their own home = 300 × (2/3) = 200
∴ Required ratio = $\left(400+100\right):\left(100+200\right)=500:300=5:3.$