Topics

2 men and 1 woman can do a piece of work in 14 days. while 4 women and 2 men can do the same work in 8 days. If a man gets Rs.90 per day, what should be the wages per day of a women?


A) Rs.48

B) Rs.60

C) Rs.72

D) Rs.135

Correct Answer:
B) Rs.60

Description for Correct answer:

Let man be represent by m and woman be represented by w.

Because, 2m + 1w = \( \Large \frac{1}{14} \)

= \( \Large 14 \times \left(2m+1w\right)=1 \) ...(i)

and \( \Large 4w + 2m = \frac{1}{8} \)

\( \Large 8 \left(4w+2m\right)=1 \) ...(ii)

On equating Eqs. (i) and (ii), we get

\( \Large 14 \times \left(2m+1w\right)=8 \times \left(4w+2m\right) \)

\( \Large 28m + 14w = 32w + 16m \)

= 28m + 14w = 32w + 16m

= 28m -16m = 32w -14w

= 12m = 18w

\( \Large \frac{m}{w} = \frac{18}{12} = \frac{3}{2} \)

So, efficiency of 1 man and 1 woman is c : 2

So, their wages must be in the same ratio

\( \Large \frac{90}{x} = \frac{3}{2} \)

[here, x = wages of a woman]

Therefore, x = \( \Large \frac{90 \times 2}{3} \) = Rs.60


Part of solved Work and Wages questions and answers : >> Aptitude >> Work and Wages




Comments
No comments available




Similar Questions
1). Two pipes A and B can fill a tank in 18 and 6 h, respectively. If both the pipes are opened simultaneously, how much time will be taken to fill the tank?
A). \( \Large 4\frac{1}2{} \) h
B). 7 h
C). 6 h
D). 10 h
-- View Answer
2). There are two tanks A and B to fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap A alone is on. How much time will tap alone take, to fill up the same tank?
A). 64 min
B). 80 min
C). 96 min
D). 120 min
-- View Answer
3). A cistern can be filled up in 4 h by an inlet A. An outlet B can empty the cistern in 8 h. If both A and B are opened simultaneously, then after how much time the cistern get filled?
A). 5 h
B). 7 h
C). 8 h
D). 6 h
-- View Answer
4). A pipe can fill a tank in 20 h. Due to a leak in the bottom, it is filled in 40 h. If the tank is full, how much time will the leak take to empty it?
A). 40 h
B). 30 h
C). 50 h
D). 30 h
-- View Answer
5). A pipe can fill a tank in 10 h, while an another pipe can empty it in 6 h. Find the time taken to empty the tank, when both the pipes are opened up simultaneously.
A). 11 h
B). 15 h
C). 18 h
D). 16 h
-- View Answer


6). Three taps are fitted in a cistern. The empty cistern is filled by the first and the second taps in 3 and 4 h, respectively. The full cistern is emptied by the third tap in 5 h. If all three taps are opened simultaneously, the empty cistern will be filled up in
A). \( \Large 1\frac{14}{23} \)
B). \( \Large 2\frac{14}{23} \)
C). 2 h 40 min
D). 1 h 56 min
-- View Answer
7). Pipe A can fill a tank in 30 min, while pipe B can fill the same tank in 10 min and pipe C can empty the full tank in 40 min. If all the pipes are opened together, how much time will be needed to make the tank full?
A). \( \Large 9\frac{3}{13} \) h
B). \( \Large 9\frac{4}{13} \) h
C). \( \Large 9\frac{7}{13} \) h
D). \( \Large 9\frac{9}{13} \) h
-- View Answer
8). Pipes A and B can fill a tank in 5 and 6 h, respectively. Pipe C can fill it in 30 h. If all the three pipes are opened together, then in how much time the tank will be filled up?
A). \( \Large 3\frac{3}{14} \) h
B). \( \Large 2\frac{1}{2} \) h
C). \( \Large 3\frac{9}{14} \) h
D). \( \Large 2\frac{1}{14} \) h
-- View Answer
9). Through an inlet, a tank takes 8 h to get filled up. Due to a leak in the bottom, it takes 2 h more to get it filled completely. If the tank is full, how much time will the leak take to empty it?
A). 16 h
B). 20 h
C). 32 h
D). 40 h
-- View Answer
10). A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
A). 25 h
B). 40 h
C). 30 h
D). 35 h
-- View Answer
Home About Us Terms and Conditions Privacy Policy Contact us