11 men and 8 women can earn Rs. 16120 in 13 days. 9 men and 15 women can earn Rs. 11160 in 8 days. In how many days can 16 men and 12 women earn Rs. 10920 ?
A). 6 days
B). 7 days
C). 8 days
D). 9 days
6 days
Let the daily earning of men and woman be x and y respectively.
∴ 11x + 8y = 16120/13 = 1240 ..........(1)
9x + 15y = 11160/8 = 1395 ............(2)
Solving eqn (1) and (2)x = 80, y = 45
∴ 16x + 12y = 1820
∴ Number of days = 10920/1820 = 6