The cost of 5(2/5) litres of milk is ₹ 101(1/4) then find the cost of 1 litre.

Monjur Alahi

The cost of \(5\frac{2}{5}\)  litres of milk is ₹ \(101\frac{1}{4}\) then find the cost of 1 litre.

A) ₹ 9\(\frac{1}{2}\)

B) ₹ 6\(\frac{1}{2}\)

C) ₹ 8\(\frac{1}{2}\)

D) ₹ 18\(\frac{3}{4}\)


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Salim Ahmed Kawsar

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Correct option is (D) Rs \(18\frac{3}{4}\)

\(\because\) Cost of \(5\frac{2}{5}\) litres of milk = Rs \(101\frac{1}{4}\) 

\(\Rightarrow\) Cost of \(\frac{27}{5}\) litres of milk = Rs \(\frac{405}4\)

\(\therefore\) Cost of 1 litres of milk = Rs \((\frac{405}4\div\frac{27}5)\)

= Rs \((\frac{405}4\times\frac5{27})\)

= Rs \((\frac{45}4\times\frac5{3})\)

= Rs \((\frac{15\times5}4)\) = Rs \(\frac{75}4\)

= Rs \(\frac{18\times4+3}4\) = Rs \((18+\frac34)\)

= Rs \(18\frac{3}{4}\).

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Salim Ahmed Kawsar

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Correct option is   D) ₹ 18\(\frac{3}{4}\)

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