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Mathematics

The cost of 3123\dfrac{1}{2} metres of cloth is ₹ 54734547\dfrac{3}{4}. Find the cost of 1 metre of cloth.

Fractions

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Answer

Given, the cost of 3123\dfrac{1}{2} metres of cloth = ₹ 54734547\dfrac{3}{4}

The cost of 1 m of cloth :

=54734÷312=2,1914÷72=2,1914×27=2,1917×24=313×12=3132=15612.= 547\dfrac{3}{4} ÷ 3\dfrac{1}{2}\\[1em] = \dfrac{2,191}{4} ÷ \dfrac{7}{2}\\[1em] = \dfrac{2,191}{4} \times \dfrac{2}{7}\\[1em] = \dfrac{2,191}{7} \times \dfrac{2}{4}\\[1em] = 313 \times \dfrac{1}{2}\\[1em] = \dfrac{313}{2}\\[1em] = 156\dfrac{1}{2}.

Hence, the cost of 1 metre of cloth = ₹ 15612156\dfrac{1}{2}.

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