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Mathematics

If 3123\dfrac{1}{2} litres of milk costs ₹49, find the cost of one litre of milk?

Rational Numbers

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Answer

Let the cost of one litre of milk be ₹xx.

312×x=4972×x=49x=49÷72x=49×27x=49×21×7x=987x=143\dfrac{1}{2} \times x = 49\\[1em] \Rightarrow \dfrac{7}{2} \times x = 49\\[1em] \Rightarrow x = 49 ÷ \dfrac{7}{2}\\[1em] \Rightarrow x = 49 \times \dfrac{2}{7}\\[1em] \Rightarrow x = \dfrac{49 \times 2}{1 \times 7}\\[1em] \Rightarrow x = \dfrac{98}{7}\\[1em] \Rightarrow x = 14

The cost of one litre of milk = ₹14.

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