The total salary of 15 men and 8 women is Rs. 3050. The difference of salaries of 5 women and 3 men is Rs. 50.

Correct option is (C) Rs. 750

Let salary of 1 man and 1 woman is Rs x & y respectively.

\(\therefore\) Total salary of 15 men and 8 women = Rs (15x + 8y),

Difference of salaries of 5 women and 3 men = Rs (5y - 3x)

and sum of salaries of 3 men and 3 women = Rs (3x + 3y).

According to given conditions, we get

15x + 8y = 3050      ____________(1)

and 5y - 3x = 50      ____________(2)

Multiply equation (2) by 5, we get

-15x + 25y = 250    ____________(3)

By adding equations (1) & (3), we get

(15x + 8y) + (-15x + 25y) = 3050 + 250

\(\Rightarrow\) 33y = 3300

\(\Rightarrow\) y = \(\frac{3300}{33}\) = 100

Then from (1), 15x + 800 = 3050

\(\Rightarrow\) 15x = 3050 - 800

= 2250

\(\Rightarrow\) x = \(\frac{2250}{15}\) = 150

\(\therefore\) The sum of the salaries of 3 men and 3 women

= 3x + 3y

= Rs (450 + 300)

= Rs 750

Correct option is C) Rs. 750