Convert the following ratios to percentage: $( a).\ 3:1,\ ( b).\ 2:3:5,\ ( c).\ 1:4,\ ( d).\ 1:2:5$.
Given: $( a).\ 3:1,\ ( b).\ 2:3:5,\ ( c).\ 1:4,\ ( d).\ 1:2:5$
To do: To convert the given ratios to percentage.
Solution:
$( a).\ 3:1$
Total $=3+1=4$
Percentage of first part$=\frac{3}{4}\times100$
$=75$ %
Percentage of second part$=\frac{1}{4}\times100$
$=25$ %
$( b).\ 2:3:5$
Total $=2+3+5=10$
Percentage of first part$=\frac{2}{10}\times100=20$ %
Percentage of second part$=\frac{3}{10}\times100=30$ %
Percentage of third part$=\frac{5}{10}\times100=50$ %
$( c).\ 1:4$
Total $=1+4=5$
Percentage of first part$=\frac{1}{5}\times100=20$ %
Percentage of second part$=\frac{4}{5}\times100=80$ %
$( d).\ 1:2:5$
Total$=1+2+5=8$
Percentage of first part$=\frac{1}{8}\times100$
$=12.5$ %
Percentage of second part$=\frac{2}{8}\times100$
$=25$ %
Percentage of third part$=\frac{5}{8}\times100$
$=62.5$ %
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