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
