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Explanation
- The total monthly salary of 4 men and 2 women is Rs. 46000.
- A woman earns Rs. 500 more than a man.
According to the first part of the question;
4m + 2w = 46000
2m + w = 23000 __________ (i)
According to the second part of the question;
w – 500 = m
m – w = -500 __________ (ii)
By solving equation (i) and (ii) simultaneously; we can easily determine the monthly salary of a woman.
To Find
Monthly salary of a woman = ?
Solution
Monthly salary of 4 men and 2 women is Rs. 46000
4m + 2w = 46000
2(2m + w) = 46000
2m + w = 23000 __________ (i)
A woman earn Rs. 500 more than a man
w – 500 = m
m – w = -500 __________ (ii)
By adding equation (i) and (ii)
2m + m + w – w = 23000 – 500
3m = 22500
m = 7500 putting it in equation (ii)
7500 – w = -500
7500 + 500 = w
8000 = w
Monthly salary of a woman = Rs. 8000 answer
Conclusion
The total monthly salary of 4 men and 2 women is Rs. 46000. If a woman earns Rs. 500 more than a man. The monthly salary of a woman would be Rs. 8000.
