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$=\frac{5}{8}\times100$

$=62.5$ %

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

17 Views

Get certified by completing the course