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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