# 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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