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# 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?

Hint: 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.

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
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
$= {\text{Rs}}{\text{.11}} \times \dfrac{{960}}{4} \\ = {\text{Rs}}{\text{.11}} \times 240 \\ = {\text{Rs}}{\text{.2640}} \\$