Question

sugar is sold at Rs
$17 \times \frac{3}{4}$
per kg.Find the cost of
$8\times \frac{1}{2}$
kg of sugar​

Answer 1

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$cost \: of \: one \: kg \: of \: sugar = rs17\times\frac{3}{4} = Rs \frac{71}{4}$

$cost \: of \: 8 \times \frac{1}{2} kg \: of \: sugar = rs( \frac{71}{4} \times 8 \times \frac{1}{2} ) \\ = rs( \frac{71}{4} \times \frac{17}{2} = rs( \frac{71 \times 17}{4 \times 2} = rs( \frac{1207}{8} = rs150 \times \frac{7}{8}$

$hence \: the \: cost \: of \: 8\times\frac{1}{2} kg \: of \: sugar \: is \: rs \: 150 \times \frac{7}{8}$

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Answer 2

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$cost \: of \: one \: kg \: of \: sugar = rs17\times\frac{3}{4} = Rs \frac{71}{4}$

$\begin{gathered}cost \: of \: 8 \times \frac{1}{2} kg \: of \: sugar = rs( \frac{71}{4} \times 8 \times \frac{1}{2} ) \\ = rs( \frac{71}{4} \times \frac{17}{2} = rs( \frac{71 \times 17}{4 \times 2} = rs( \frac{1207}{8} = rs150 \times \frac{7}{8}\end{gathered}$

$hence \: the \: cost \: of \: 8\times\frac{1}{2} kg \: of \: sugar \: is \: rs \: 150 \times \frac{7}{8}$

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