Question

Ratio of the number of male employees to the total number of employees in a company is 5:8. If 200 female employees joined the company, then now the number of male employees in the company is 25% more than that of female employees, then find the number of female employees in the company finally?

• A. 800
• B. 500
• C. 1400
• D. None of these

Answer 1

The Correct Option is A

Let's solve the problem step by step. 

Initially, the ratio of the number of male employees to the total number of employees in the company is 5:8. Let the total number of employees be \(8x\). Then the number of male employees is \(5x\), and the number of female employees is \(8x-5x=3x\).

If 200 female employees join, the number of female employees becomes \(3x+200\).

We are given that the number of male employees is 25% more than that of the female employees. Therefore, the number of male employees, \(5x\), is 125% of the female employees. This can be expressed as:

\[ 5x = 1.25 \times (3x + 200) \]

Expanding this equation gives:

\[ 5x = 1.25 \times 3x + 1.25 \times 200 \]

\[ 5x = 3.75x + 250 \]

Subtract \(3.75x\) from both sides:

\[ 5x - 3.75x = 250 \]

\[ 1.25x = 250 \]

Dividing both sides by 1.25:

\[ x = \frac{250}{1.25} = 200 \]

Now we calculate the number of female employees finally:

The original number of female employees is \(3x=3 \times 200 = 600\).

After adding 200 female employees, the total number of female employees becomes:

\[ 600 + 200 = 800 \]

Thus, the final number of female employees in the company is 800.