Question

# The cost of $2\dfrac{3}{4}metres$ of cloth is $Rs.583$. Find the cost of the cloth per metre.

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Hint:Unitary method can be used to calculate the required solution. It will work on simple logic that the lesser the length of cloth, the lesser will be its price. The cost of the cloth per metre can be calculated by dividing the price of the cloth by its length in metre.

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.
Cost of $2\dfrac{3}{4}metres$ of cloth$= Rs.583$
Cost of $\dfrac{{11}}{4}metres$ of cloth$= Rs.583$
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