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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.