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It is given that the cost of $2\dfrac{3}{4}metres$ of cloth is $Rs.583$. We are asked to find the cost of the cloth per metre.

Unitary method can be used here to simplify the given statements into mathematical form and further apply the appropriate steps to find the solution.

Unitary method is a technique for solving a problem by initially finding the value of a single unit( here, metre). Since it is given that.

Cost of $2\dfrac{3}{4}metres$ of cloth$ = Rs.583$

Cost of $\dfrac{{11}}{4}metres$ of cloth$ = Rs.583$

We know that the lesser the length of the cloth bought, the cheaper its cost will be.

So, cost of $1metre$ of cloth $ = \dfrac{{583}}{{\dfrac{{11}}{4}}} = \dfrac{{583 \times 4}}{{11}}$

Hence, cost of $1metre$ of cloth$ = Rs.212$

So, the cost of the cloth per metre$ = Rs.212$ per metre.

Total cost$ = $cost per metre$ \times $length needed