That concentration would be
60 g
---------- = 60/300 = 1/5 (or, if you prefer, 1:5).
300 g
Ratio shows the comparison between two quantities whereas percentage is the ratio expressed in fraction of 100.
Generally, the smaller quantity is at the numerator place and the larger quantity is the denominator.
For the given question the concentration of sugar in the syrup will be:
[tex]\rm \dfrac{60}{360}=\dfrac{1}{6}[/tex]
or [tex]\dfrac{60}{360}\times 100 =16.67\%[/tex].
Given:
[tex]\rm Quantity \:of \: sugar=60g\\\rm Quantity \:of\:water=300g[/tex]
Therefore,
[tex]\begin{aligned} \rm Quantity\:of\:syrup&= 60+300\\&=360g\end[/tex]
[tex]\begin{aligned}\rm Ratio\:of \:sugar \:in \:the \:syrup&= \dfrac{Quantity\:of\:sugar}{Quantity\:of\:syrup}\\\\&=\dfrac{60}{360}\\\\&=\dfrac{1}{6}\end[/tex]
[tex]\begin{aligned}\rm Percentage\:of \:sugar \:in \:the \:syrup&= \dfrac{Quantity\:of\:sugar}{Quantity\:of\:syrup}\times 100\\\\&=\dfrac{60}{360}\times 100\\\\&=\dfrac{1}{6}\times 100\\\\&=16.67\%\end[/tex]
Therefore concentration of sugar in the syrup is 16.67%.
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