12men and 6 women can do a piece of work in 14 days ,8 men and 9 women can do the same work in 16 days.men get rupees 54 per day,what was the wage of women??
Answers
Answer:
To solve these kind of answers it's better to multiply all number of days and resources
It's 8*12*52 = 4992
So take total work as 4992 parts
And it is given that 12 men can do that work in 52 days. So each man will do 8parts of work a day
Similarly each woman will do 12parts of work each day
So 8men and 12women together do 208 parts of work in a day
To complete the work in this format it takes
= 4992/208
=24 days
Answer:
The wage of women per day = 36rupees
Step-by-step explanation:
Solving problem:
Let the men be represented as 'm'
and the women be represented as 'n'
Given 12 men and 6 women can do a piece of work in 14 days.
12m + 6w = 1/14
14(12m + 6w) = 1 ----------(i)
Also given 8 men and 9 women can do a piece of work in 16 days.
8m + 9w = 1/16
16(8m + 9w) = 1 ----------(ii)
As both the set of men and women can do the same work so equate equations (i) and (ii)
14(12m + 6w) = 16(8m + 9w)
7(12m + 6w) = 8(8m+9w)
84m + 42w = 64m + 72w
now write all the 'm' terms in left side and 'n' terms in right side
84m - 64m = 72w - 42w
20m = 30w
m/w = 30/20
m/w = 3/2
So the piece of work done by men and women per day is in the ratio 3:2
Given the wage of men per day = 54 rupees
Let the amount earned by women per day is 'a'
The ratio of wage of men to the wage of women per day is written as
52 : a = 3 : 2
52/a = 3/2
3a = 54x(2)
a = 36 rupees
Hence the wage of women per day = 36 rupees
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