Question

The number of female workers is twice the number of male workers in a factory . The factory owner pays ₹200 per day to each female workers and ₹ 300per day to each male wokers if he paid a total of ₹75600 to all the workers find the number of male and female workers in the factory

Answer 1

Answer:

Male=108

Female=216

Step by step explanation:

Let the no. of male workers = X

So, according to question:

The number of female workers= 2X -----eq(1)

Now,

Wages paid to female worker =₹200

Wages paid to male worker =₹300

So,

Condition ;

300X +200(2X) =75600

300X + 400 X =75600

700X = 75600

X=108

And, therefore

From equation (1)

No. Of female workers =216

Answer 2

Answer:male 108 and female 216

Step-by-step explanation:

Let no. of men=x

no. Of women=y

By question,y=2x.......(1)

For y,Rs 200/day

For x,Rs 300/day

Total amount paid =75600

Now, y×200+x×300=75600

Or,200y+300x=75600

Or, 2y+3x=756

Or,2(2x)+3x=756.......(using equation 1)

Or,7x=756

Or,x=756/4=7=108{ no. Of male}

Now,y=2x

Or,y=2×108=216{no of female}