(2 men + 1 woman) can complete a work in 14 days
So, (2 men + 1 woman)'s 1 day's work
=1/14 Hence, 2 men +1 woman
=1/14 ......(i)
Similarly, 2 men + 4 woman
=1/8 ...(ii)
On subtracting Eq (i) from Eq. (ii), we get
2 men
+ 4 woman
=1/8 2 men
+ 1 woman
=1/14 − − − –––––––––––––––––––––––
3 women
=1/8−1/14 ⇒ 3 women
=7−4/56=3/56 ⇒ 3 women
=3/56 ⇒ 1 woman
=1/56 So, 1 woman can complete the whole work in 56 days
From Eq. (i),
⇒ 2 men
=1/14−1/56 =4−1/56 ⇒ 2 men
=3/56 ⇒ 1 man
=3/2×56 So, 1 man can complete the whole work in
2×56/3 days.
On comparing 1 man and 1 woman work,
56 women
=56×2/3men ⇒ 1 woman
=2/3 men
Hence, amount received by 1 man per day
=Rs600 Thus, amount received by 1 woman per day
=600×2/3 =Rs400