4 men and 6 women get Rs. 2400 by doing a piece of work in 5 days. 3 men and 7 women get Rs. 2760 by doing the same work in 6 days. In how many days, 7 men and 6 women can complete the same work getting Rs. 5280?
1). 6 days
2). 8 days
3). 10 days
4). 12 days
Let the daily wage of 1 man and 1 women be a and b respectively.
Given, 4 men and 6 women get Rs. 2400 by doing a piece of work in 5 days.
∴ 4a + 6b = 2400/5 = 480
Also, 3 men and 7 women get Rs. 2760 by doing the same work in 6 days.
∴ 3a + 7b = 2760/6 = 460
On solving these two equation, we get a = 60, b = 40.
Let the number of days for which 7 men and 6 women have to work so that they get Rs. 5280 be d days.
⇒ 7 × 60 + 6 × 40 = 5280/d
⇒ 660 = 5280/d
⇒ d = 8 days