Question

Find the ratio of
(i) $3.2$ metres to $56$ metres
(ii) $10$ metres to $25$ cm.
(iii) $25$ paisa to $Rs.60$
(iv) $10$ litres to $0.25$ litre

Answer 1

(i) The ratio of $3.2$ metres to $56$ metres

$3.2m:56m$

$=\frac{3.2m}{56m}$

$=\frac{32}{10\times 56}$

$=\frac{2}{5\times 7}$

$=\frac{2}{35}$

$=2:35$

$\therefore 3.2m:56m=2:35$

(ii) The ratio of $10$ metres to $25$ cm

$=\frac{10m}{25cm}$

$=\frac{10\times 100cm}{25cm}$

$=\frac{1000}{25}$

$=\frac{40}{1}$

$=40:1$

$\therefore 10m:25cm=40:1$

(iii) The ratio of $25$ paisa to $Rs.60$

$=\frac{25\text{paise}}{\text{Rs.}60}$

$=\frac{25\text{paise}}{100\text{Paise}\times 60}$

$=\frac{1}{4\times 60}$

$=\frac{1}{240}$

$=1:240$

$\therefore 25\text{paise}:\text{Rs.}60=1:240$

(iv) The ratio of $10$ litres to $0.25$ litre

$=\frac{10l}{0.25l}$

$=\frac{10}{\frac{25}{100}}$

$=10\times \frac{100}{25}$

$=\frac{10\times 4}{1}$

$=40:1$

$\therefore 10l:0.25l=40:1$