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Mathematics

Find the cost of 3253\dfrac{2}{5} metres of cloth at ₹ 633463\dfrac{3}{4} per metre.

Rational Numbers

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Answer

We know that total cost = cost of 1 metre × length of cloth.

Length of the cloth =325 m=175 m= 3\dfrac{2}{5} \text{ m} = \dfrac{17}{5} \text{ m}

Cost of 1 metre of cloth =₹6334=₹2554= ₹ 63\dfrac{3}{4} = ₹ \dfrac{255}{4}

Finding the total cost,

2554×175=255×174×5=433520=8674=21634\dfrac{255}{4} \times \dfrac{17}{5} = \dfrac{255 \times 17}{4 \times 5} \\[1em] = \dfrac{4335}{20} \\[1em] = \dfrac{867}{4} = 216\dfrac{3}{4}

Hence, the cost of the cloth is ₹21634 or ₹216.75\mathbf{₹ 216\dfrac{3}{4} \text{ or } ₹ 216.75}.

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