State the following ratios are in proportion or not: $2 k g : 80 k g a n d 25 c m : 625 c m$ .

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Solution

Step 1: Find the smallest form of the ratios
$2 k g : 80 k g = \frac{2}{80} = \frac{2 \div 2}{80 \div 2} = \frac{1}{40} = 1 : 40$
$25 c m : 625 c m = \frac{25}{625} = \frac{25 \div 25}{625 \div 25} = \frac{1}{25} = 1 : 25$
Step 2: Check the ratios are equal or not
Ratios $2 k g : 80 k g a n d 25 c m : 625 c m$ are not equal.
Hence, $2 k g : 80 k g a n d 25 c m : 625 c m$ are not in proportion.

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