In a Maruti Suzuki showroom, 35% of the employees are female. 60% of the male employees are above the age of 30. If 45% of the total employees are aged either 30 or below 30, then what is the ratio of the female employees at or below the age of 30 and the male employees above the age of 30?

Let's define the variables based on the given information:

- Let \( T \) represent the total number of employees in the showroom.
- 35% of the employees are female, so the number of female employees is:
  \[
  F = 0.35T
  \]
  This implies the number of male employees is:
  \[
  M = 0.65T
  \]

Next, we are told that 60% of the male employees are above the age of 30, so the number of male employees above 30 is:
\[
M_{>30} = 0.60 \times 0.65T = 0.39T
\]

Now, 45% of the total employees are aged either 30 or below. Therefore, the number of employees aged 30 or below is:
\[
E_{\leq30} = 0.45T
\]
The employees aged 30 or below consist of both males and females. Let \( F_{\leq30} \) be the number of female employees aged 30 or below, and \( M_{\leq30} \) be the number of male employees aged 30 or below. Then:
\[
F_{\leq30} + M_{\leq30} = 0.45T
\]
We know that the number of male employees aged 30 or below is:
\[
M_{\leq30} = 0.40 \times 0.65T = 0.26T
\]
Substituting this into the equation for employees aged 30 or below:
\[
F_{\leq30} + 0.26T = 0.45T
\]
Solving for \( F_{\leq30} \):
\[
F_{\leq30} = 0.45T - 0.26T = 0.19T
\]

Finally, the problem asks for the ratio of female employees at or below the age of 30 to the male employees above the age of 30. This ratio is:
\[
\frac{F_{\leq30}}{M_{>30}} = \frac{0.19T}{0.39T} = \frac{19}{39} = \frac{19}{39} = \frac{19}{39} = \frac{19}{39} = \frac{19}{

Solve the problem of finding the ratio of female employees aged 30 or below to male employees above 30 in a Maruti Suzuki showroom. Learn how to apply percentages and ratios, along with key algebraic concepts. This solution is ideal for students in Grades 8-10.

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