Determine if the following ratios form a proportion.
(i) 25 cm: 1 m and Rs. 40: Rs. 160
(ii) 200 mL: 2.5 L and Rs. 4:Rs. 50
Given:
(i) 25 cm: 1 m and Rs. 40: Rs. 160
(ii) 200 mL: 2.5 L and Rs. 4:Rs. 50
To do:
We have to determine if the given ratios are in proportion.
Solution:
(i) We know that,
$1\ m=100\ cm$
Therefore,
$25\ cm:1\ m=25\ cm:100\ cm$
$=1:4$
$Rs.\ 40:Rs.\ 160=1:4$
$25\ cm:1\ m=Rs.\ 40:Rs.\ 160$
This implies,
The given ratio is in proportion.
(ii) We know that,
$1\ L=1000\ mL$
$2.5\ L=2.5\times1000\ mL=2500\ mL$
Therefore,
$200\ mL:2.5\ L=200\ mL:2500\ mL$
$=2:25$
$Rs.\ 4:Rs.\ 50=2:25$
$200\ mL:2.5\ L=Rs.\ 4:Rs.\ 50$
This implies,
The given ratio is in proportion.
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