Write the ratio of the quantities in the simplest form
$5 l 750 m l t o 4 l 200 m l$

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Solution

Step-1: Convert $5 l 750 m l$ into $m l$
$5 l 750 m l$ $=$ $5 \times 1000 + 750 =$ $5000 + 750 =$ $5750 m l$ ( As $1 l = 1000 m l$ )
Step-2: Convert $4 l 200 m l$ into $m l$
$4 l 200 m l$ $=$ $4 \times 1000 + 200 =$ $4000 + 200 =$ $4200 m l$ ( As $1 l = 1000 m l$ )
Step-3: Write $5750 m l$ to $4200 m l$ in the form of a ratio
$5750 m l$ to $4200 m l$ $=$ $5750 : 4200$
Step-4: Simplify the ratio $5750 : 4200$
$5750 : 4200$ $=$ $\frac{5750 \div 50}{4200 \div 50}$ ( To simplify $5750 : 4200$ divide it by HCF of $5750$ and $4200$ The HCF of $5750$ and $4200$ is $50$ )
$5750 : 4200$ $=$ $\frac{115}{84}$ $=$ $115 : 84$
Hence, the ratio of quantities $5 l 750 m l t o 4 l 200 m l$ is $115 : 84$

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