Question

• Find out whether the following ratios form proportions or not. Write the middle terms and extreme ter
where the ratios form a proportion.
(a)
200 ml: 2.5 litre and 6:78
​

Answer 1

SOLUTION:

i) 25cm:1m

1m=100cm

=\frac{25}{100}=\frac{1}{4}=1:4=10025=41=1:4

rs40:rs160=\frac{40}{160}=\frac{1}{4}=1:416040=41=1:4

since the ratios are in proportion, therefore these are in proportion.

ii) 39litres:65litres=\frac{39}{65}=\frac{3}{5}6539=53

6bottles: 10bottles=\frac{6}{10}=\frac{3}{5}=3:5106=53=3:5

since, the ratio are equal, therefore thee are in proportion.

iii) 2kg: 80kg\frac{2}{80}=\frac{1}{40}=1:4802=401=1:4

25g:65g=\frac{25}{65}=\frac{1}{25}=1:256525=251=1:25

since, the ratios are not equal, therefore these are not in proportion.

iv) 200ml:2.5ltres

\frac{200}{2500}=\frac{2}{25}=2:252500200=252=2:25

4: 250=\frac{4}{50}=\frac{2}{25}=2:25504=252=2:25

sincce, the ratios are equal, therefore these are in proportion.