Question

If $5$ men and $7$ women can earn ${\text{Rs700}}$ per day. How much would $7$ men and $1$ women earn price?

Answer 1

Hint:
As $5$ men can earn ${\text{Rs700}}$ per day.
So one man earning per day is ${\text{Rs }}\dfrac{{700}}{5}$
Similarly we can find the earning of one woman and then the earning of the number of men and women required.

Complete step by step solution:
Here we are given that $5$ men and $7$ women can earn ${\text{Rs700}}$ per day that means that $5$ men earn ${\text{Rs700}}$ per day and $7$ women also earn ${\text{Rs700}}$ per day.
And we know that if $x$ people earn $y$ money in one day then
One person will earn $\dfrac{y}{x}$ money in one day
So here as $5$ men earn ${\text{Rs700}}$ per day.
One man earning per day is $ = {\text{Rs}}\dfrac{{{\text{money earned by 5 men per day}}}}{5}$
So one man earning per day is ${\text{Rs }}\dfrac{{700}}{5}$$ = {\text{Rs 140}}$
Similarly $7$ women also earn ${\text{Rs700}}$ per day.
One woman earning per day $ = {\text{Rs}}\dfrac{{{\text{money earned by 7 women per day}}}}{7}$
One woman earning per day $ = {\text{Rs}}\dfrac{{700}}{7} = {\text{Rs 100}}$
So we get that earning of one man per day is $ = {\text{Rs 140}}$ while for that of woman is ${\text{Rs 100}}$
Earning of $7$ men per day$ = {\text{Rs (140}} \times {\text{7)}} = {\text{Rs 980}}$
Earning of $1$ woman per day$ = {\text{Rs100}}$

So the money that is earned by $7$ men and one woman per day $ = {\text{Rs (980 + 100)}}= {\text{Rs 1080}}$

Note:
Here we used “or” which means that either $5$ men will earn ${\text{Rs700}}$ or $7$ women earn ${\text{Rs700}}$ but we need to find the earning of $7$ men and one woman which means their total earning. So here we should read the statement carefully without any grammatical mistakes so that no confusion may occur during the solution as here grammatical mistakes may occur.