Read the information and answer the following questions.

The table shows the number of males working in private and public companies and number of females working in private and public company in four (A, B, C & D) different cities.

Cities	Males in Private company	Males in Public company	Females (private + public)
A	15x – 2y	y	55
B	16x	16	108
C	9y	24	74
D	84	21	85

Note – (i) Number of male employees in A are 50.

(ii) Total males working in private company from B and C are 154.
(iii) Total employees (male + female) working in any city = private companies + public company
(iv) Males/females working in any city = Sum of males/females working in private and public company

The ratio of males working public company from C and females working in private company from city B is 4:5. The females working in public company from B is what percentage of males in public company in city A.

The correct option is 780%.

Let us solve the problem step-by-step using the given data and notes.

Step 1: Find the values of variables $x$ and $y$.

From Note (i), the total number of male employees in city A is 50.

Total males in city A = Males in Private company + Males in Public company

$\left(15x-2y\right)+y=50$

$15x-y=50$     --- (Equation 1)

From Note (ii), total males working in private companies from B and C is 154.

$16x+9y=154$     --- (Equation 2)

Multiply Equation 1 by 9:

$135x-9y=450$

Add this to Equation 2:

$\left(135x-9y\right)+\left(16x+9y\right)=450+154$

$151x=604$

$x=4$

Substitute $x=4$ back into Equation 1:

$15\times 4-y=50$

$60-y=50$

$y=10$

Step 2: Calculate relevant individual values.

1. Males working in public company in city A = $y=10$.

2. Males working in public company in city C = 24.

3. Total females working in city B = 108.

Step 3: Find females working in private and public companies from city B.

Given ratio of males in public company from C to females in private company from city B is 4:5.

$\frac{\text{Males in Public company (C)}}{\text{Females in Private company (B)}}=\frac{4}{5}$

$\frac{24}{\text{Females in Private company (B)}}=\frac{4}{5}$

$\text{Females in Private company (B)}=\frac{24\times 5}{4}=30$

Since total females in city B (private + public) = 108:

Females in public company from B = Total females in B - Females in private company from B

$\text{Females in public company (B)}=108-30=78$

Step 4: Compute the required percentage.

We need to find what percentage the females working in public company from B (78) is of the males in public company in city A (10).

$\text{Required Percentage}=\left(\frac{78}{10}\right)\times 100\%=780\%$