Find the following ratios :
(i) $ 2.5 \mathrm{~m} $ to $ 150 \mathrm{~cm} $
(ii) $ 7 \mathrm{~kg} $ to $ 420 \mathrm{~g} $
(iii) 10 litres to 0.56 litre
(iv) 40 paise to Rs. 2


Given: 

(i) \( 2.5 \mathrm{~m} \) to \( 150 \mathrm{~cm} \)
(ii) \( 7 \mathrm{~kg} \) to \( 420 \mathrm{~g} \)
(iii) 10 litres to 0.56 litre
(iv) 40 paise to \( Rs. 2 \)

To do: 

Here, we have to express the given ratios in the simplest form.

Solution:

We know that;

$1\ m = 100\ cm$

$1\ kg=1000\ g$

$1\ L=1000\ mL$

$Rs.\ 1=100\ paise$

(i) $2.5\ m:150\ cm=2.5\times100:150$

$=25:15$

$=5:3$

(ii) $7\ kg:420\ g=7\times1000:420$

$=1000:60$

$=500:3$

(iii) $10\ L:0.56\ L=10:0.56$

$=10\times100:0.56\times100$

$=1000:56$

$=125:7$

(iv) $4\ paise: Rs.\ 2=4:2\times100$

$=1:50$

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Updated on: 10-Oct-2022

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