Question

If 3 men or 4 women can earn Rs.960 in a day, how much would 6 men and 11 women earn in a day?

Answer 1

First of all, find the amount that can be earned by a single man and woman per day. Then the amount earned by 6 men is equal to 6 times that a single man can earn per day and the amount earned by 11 women is equal to 11 times that a single woman can earn per day. So, use this concept to reach the solution of the given problem.

Complete step-by-step answer :
Given that 3 men or 4 women can earn Rs.960 in a day
Therefore, 1 man can earn an amount of ${\text{Rs}}{\text{.}}\dfrac{{960}}{3}$ per day
And 1 woman can earn an amount of ${\text{Rs}}{\text{.}}\dfrac{{960}}{4}$ per day
We have to find how much 6 men and 11 women can earn a day.
So, 6 men can earn an amount per day = $6 \times$amount can earn per day by 1 man
$$
= {\text{Rs}}.6 \times \dfrac{{960}}{3} \\
= {\text{Rs}}{\text{.2}} \times 960 \\
= {\text{Rs}}{\text{.1920}} \\

And 11 women can earn an amount per day = $$11 \times $$amount can earn per day by 1 woman $$ = {\text{Rs}}{\text{.11}} \times \dfrac{{960}}{4} \\\ = {\text{Rs}}{\text{.11}} \times 240 \\\ = {\text{Rs}}{\text{.2640}} \\\

Therefore, amount can earn by 6 men and 11 women = Rs.1920 + Rs.2640 = Rs.4560
Thus, the amount can earn by 6 men and 11 women per day is Rs.4560

Note : Here, the amount that can earn by 6 men and 11 women must be greater than the amount that can earn by 3 men or 4 women then only our obtained answer is correct otherwise incorrect. To solve these kinds of questions, first try to calculate the amount that can be earned by a single man and multiply it with the number of men.