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If twenty four men and sixteen women work on a day, the total wages to be paid is 11,600. If twelve men and thirty seven women work on a day, the total wages to be paid remains the same. What is the wages paid to a man for a day's work?
Read Solution (Total 7)
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- 24M+16W = 11600, WHERE M & N are number of men and women respectively
12M+37W= 11600
Solving the above two, wages for man = 350rupees
- 11 years agoHelpfull: Yes(16) No(6)
- men wage=x
24 men wage=24x
same women=16y
24x+16y=11600------1
and
men wage 12x
women wage 37y
12x+37y=11600--------2
sove eq 1 and 2
x=350
y=200
- 11 years agoHelpfull: Yes(3) No(2)
- All of them post same thing no body explain clearly
- 5 years agoHelpfull: Yes(1) No(0)
- 350 rupees
- 11 years agoHelpfull: Yes(0) No(4)
- pls expln how is it 350
- 11 years agoHelpfull: Yes(0) No(4)
- 24M+16W=11600
12M+37W=11600
after solving the above equations
M=350 and W=200 - 11 years agoHelpfull: Yes(0) No(2)
- Let a man’s wage per day= a
And woman’s wage per day= b.
There are 24 men so, 24xa= 24a and no. Of women is16 so, 16xb= 16b.
Therefore, 24a+ 16b= 11600.---------1
According to the other part of the question,
12a+ 37b= 11600. ------------2
For solving the equations, we will multiply the equation 2 with 2 and we get,
2(12a+ 37b= 11600.)
24a+ 74b =23200.-----------3
Solving 1 and 3 we get,
58b= 11600
B= 200
Putting the value of b=200 in equation 1 we get,
24x a +16x 200= 11600
24 a + 3200= 11600
24 a= 11600- 3200
24a= 8400
A= 8400/24
A= 350
Hence, the daily wage of a man is Rs. 350." - 3 years agoHelpfull: Yes(0) No(0)
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