A certain company employed 600 men and 400 women and the average wage was Rs 2.55 per hour. If a woman got 50 paise less than a man, what were their wages per hour? Options: A . &nbspMan Rs 3.25 , Woman Rs.2.75 B . &nbspMan Rs 2.75 , Woman Rs.2.25 C . &nbspMan Rs 3.00, Woman Rs.2.75 D . &nbspMan Rs 3.50 , Woman Rs.3.75

A certain company employed 600 men and 400 women and the average wage was Rs 2.5

Question

A certain company employed 600 men and 400 women and the average wage was Rs 2.55 per hour. If a woman got 50 paise less than a man, what were their wages per hour?

Options:

A . Man Rs 3.25 , Woman Rs.2.75

B . Man Rs 2.75 , Woman Rs.2.25

C . Man Rs 3.00, Woman Rs.2.75

D . Man Rs 3.50 , Woman Rs.3.75

Answer: Option B
The given information states that the total number of employees in the company is 600 men and 400 women and the average wage per hour is Rs.2.55.
Also, it is given that a woman gets 50 paise less than a man.

In order to calculate the wages of man and woman, we need to use the Average Wage equation, which states that:

Average Wage = (Total Wages of Men + Total Wages of Women) / (Total Number of Men + Total Number of Women)

Now, substituting the given values in the above equation, we get:

2.55 = (Total Wages of Men + Total Wages of Women) / (600 + 400)
2.55 x 1000 = (Total Wages of Men + Total Wages of Women)
2550 = (Total Wages of Men + Total Wages of Women)

Now, we need to calculate the Total Wages of Men and Total Wages of Women.

Total Wages of Men = Number of Men x Wage per Hour of Man
Total Wages of Women = Number of Women x Wage per Hour of Woman

Since, we know that a woman gets 50 paise less than a man, we can calculate the wage per hour of man and woman by subtracting 50 paise from the average wage per hour.

Wage per Hour of Man = Rs.2.55 + 50 paise = Rs.2.75
Wage per Hour of Woman = Rs.2.55 - 50 paise = Rs.2.25

Now, substituting the values in the equations for Total Wages of Men and Total Wages of Women, we get:

Total Wages of Men = 600 x Rs.2.75 = Rs.1650
Total Wages of Women = 400 x Rs.2.25 = Rs.900

Therefore, the total wages of men and women will be Rs.2550, which is equal to the Average Wage of Rs.2.55 per hour.

Hence, the wages per hour of man and woman are:

Man Rs 2.75 , Woman Rs.2.25

Was this answer helpful ?

Next Question

6 Comments

Kanhiya mudgil 2019-10-04 13:17:37

Man = x
Women= x-.50
600x+400(x-.50) = 1000x2.55
X= 2.75
Women= X-.50 = 2.25

Harihara Das 2019-06-12 05:41:39

Let the daily wage of a man is =X and daily wage of a woman is=(x-0.5).Men employer=600 & Women employer =400.Total employer =600+400=1000.Total avarage wage=2.55. Now 600*X+400*(x-0.5)=2.55*(600+400). Here 600x+400x-200=2.55*1000.Again 1000x=2550+200.Hence x=2750/1000=2.75(Man wage).And Woman wage =x-0.5=2.75-0.50=2.25.

Harihara Das 2019-06-12 05:40:40

2.75 & 2.25

M Agalya 2018-04-27 07:55:18

total employee=1000
their average income=2.55
male=600 female=400
let mens wage=x
let womens wage=x-0.5
(600x+400(x-0.5))/1000=2.55
10x-2=25.5
x=2.75
so mens average wage per hr=2.75
womens=2.25

Priyanka devi 2018-03-04 13:41:52

Plz give me solution

Priyanka 2018-03-04 13:41:25

Plz give me a solution