Express the given ratio in its simplest form: 40 kg : 1 quintal - Vidyadip

Question

Express the given ratio in its simplest form: 40 kg : 1 quintal

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Answer

$\begin{aligned} & 40 \mathrm{~kg}: 1 \text { quintal }=40 \mathrm{~kg}: 100 \mathrm{~kg} \ldots(1 \text { quintal }=100 \mathrm{~kg}) \\ & =\frac{40}{100}=\frac{40 \div 20}{100 \div 20}=\frac{2}{5} \\ & \quad(\mathrm{HCF} \text { of } 40,100=20) \\ & =2: 5\end{aligned}$

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