Question

5men and 3 woman earn 850 in 4 days and 2 man and 5 woman earn 690 in 6 days, how much money will a men earn in a day.

Answer 1

Answer

RS. 38   will a men earn in a day.

Solution

5men and 3 woman earn 850 in 4 days

From this we get , 5men and 3 woman earn 850/4=212.5 in one day

we can write it as, 5m + 3w= 212.5 -------(1)

2 man and 5 woman earn 690 in 6 days,

2 man and 5 woman earn 690/6 = 115 in one day

So, 2m + 5w =115   (2)

(1)    10m + 6w = 425 -----(3)

(2)    10m + 25w = 575 ----(4)

(4) - (3)   w=150/19 = 7.9  = 8 and  m=38

RS. 38   will a men earn in a day.

Answer 2

let M amount earns a man in a day .
W amount earns a woman in a day .

A/C to question,
5 men and 3 women earn 850 in 4 days
e.g., 4(5M + 3W) = 850
or, 10M + 6W = 425......(1)

again, 2men and 5 women earn 690 in 6 days
e.g., 6(2M + 5W) = 690
or, 2M + 5W = 115 .........(2)

from equations (1) and (2),
25W - 6W = 115 × 5 - 425
19W = 575 - 425 = 150
W = 150/19
and M = 1435/38

hence, 1435/38 Rs. will earn a man in a day