Latest TCS Aptitude Question SOLUTION: 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

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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?

Asked In TCS pre (10 years ago)

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VASUDEVAN.V  (10 years ago)

24M+16W = 11600, WHERE M & N are number of men and women respectively
12M+37W= 11600
Solving the above two, wages for man = 350rupees

Is this solution Helpfull? Yes (16) | No (6)  

rishi pal  (10 years ago)

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

Is this solution Helpfull? Yes (3) | No (2)  

RK  (4 years ago)

All of them post same thing no body explain clearly

Is this solution Helpfull? Yes (1) | No   

Ajit Singh  (10 years ago)

350 rupees

Is this solution Helpfull? Yes | No (4)  

ipsita saha  (10 years ago)

pls expln how is it 350

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Sarthak Gupta  (10 years ago)

24M+16W=11600
12M+37W=11600
after solving the above equations
M=350 and W=200

Is this solution Helpfull? Yes | No (2)  

Abishek A Mech  (2 years ago)

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."

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