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Mathematics

16 m of cloth costs ₹ 2200. What is the cost of 6 m of cloth?

Unitary Method

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Answer

Cost of 16 m of cloth = ₹ 2200.

Cost of 1 m of cloth = ₹ (220016)[Less cloth, Less cost]\Big(\dfrac{2200}{16}\Big) \quad \text{[Less cloth, Less cost]}

Cost of 6 m of cloth = ₹ (220016×6)[More cloth, More cost]\Big(\dfrac{2200}{16} \times 6\Big) \quad \text{[More cloth, More cost]}

=(220016×6)=(2752×6)(Dividing 2200 and 16 by 8)=(16502)=825= ₹ \Big(\dfrac{2200}{16} \times 6\Big) \\[1em] = ₹ \Big(\dfrac{275}{2} \times 6\Big) \quad \text{(Dividing 2200 and 16 by 8)} \\[1em] = ₹ \Big(\dfrac{1650}{2}\Big) \\[1em] = ₹ 825

Hence, the cost of 6 m of cloth is ₹ 825.

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