Determine if the following ratio forms a proportion:
a.15 cm:90 cm and 40kg :240kg
b.20 litres:90 litres and 4 bottles :18 bottles
c.Rs 20: Rs80 and 4kg :18kg
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i) 25cm:1m
1m=100cm
=\frac{25}{100}=\frac{1}{4}=1:4
rs40:rs160=\frac{40}{160}=\frac{1}{4}=1:4
since the ratios are in proportion, therefore these are in proportion.
ii) 39litres:65litres=\frac{39}{65}=\frac{3}{5}
6bottles: 10bottles=\frac{6}{10}=\frac{3}{5}=3:5
since, the ratio are equal, therefore thee are in proportion.
iii) 2kg: 80kg\frac{2}{80}=\frac{1}{40}=1:4
25g:65g=\frac{25}{65}=\frac{1}{25}=1:25
since, the ratios are not equal, therefore these are not in proportion.
iv) 200ml:2.5ltres
\frac{200}{2500}=\frac{2}{25}=2:25
4: 250=\frac{4}{50}=\frac{2}{25}=2:25
sincce, the ratios are equal, therefore these are in proportion.
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