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.