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Mathematics

Cost of 3253\dfrac{2}{5} metre of cloth is ₹ 881288\dfrac{1}{2}. What is the cost of 1 metre of cloth?

Rational Numbers

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Answer

Let the cost of 1 metre of cloth be ₹ xx.

325×x=8812175×x=1772x=1772÷175x=1772×517x=177×52×17x=88534x=261343\dfrac{2}{5} \times x = 88\dfrac{1}{2}\\[1em] \Rightarrow \dfrac{17}{5} \times x = \dfrac{177}{2}\\[1em] \Rightarrow x = \dfrac{177}{2} ÷ \dfrac{17}{5}\\[1em] \Rightarrow x = \dfrac{177}{2} \times \dfrac{5}{17}\\[1em] \Rightarrow x = \dfrac{177 \times 5}{2 \times 17}\\[1em] \Rightarrow x = \dfrac{885}{34}\\[1em] \Rightarrow x = 26\dfrac{1}{34}

Hence, The cost of 1 meter of cloth is ₹ 2613426\dfrac{1}{34}.

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