2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs. 900 per day, how much should a woman get per day?
2 men and 1 woman together can complete a piece of work in 14 days, while 4 women and 2 men together can do it in 8 days. If a man gets Rs. 900 per day, how much should a woman get per day?
1). Rs. 600
2). Rs. 650
3). Rs. 680
4). Rs. 760
1 answers
Assume that the efficiency of a man = M units of work/day, the efficiency of a woman = W units of work/day & total work = T units
In 14 days total work done by 2 men = 14 × 2 × M = 28M units
Similarly, in 14 days total work done by 1 woman = 14 × 1 × W = 14W units
According to the question, 2 men and 1 woman together can complete a piece of work in 14 days.
∴ 28M + 14W = T ________ (1)
4 women and 2 men together can do the work in 8 days.
Using the same method used above we get,
(4 × W × 8) + (2 × M × 8) = T
⇒ 32W + 16M = T _________ (2)
From (1) & (2) we can write,
28M + 14W = 32W + 16M
⇒ 12M = 18W
⇒ W = ?M
We know that, efficiency is directly proportional to payment. In other words a more efficient man earns more.
∴ Wage of a woman = ? × wage of a man
⇒ Wage of a woman = ? × Rs. 900/day
⇒ Wage of a woman =Rs. 600 /day