Q.4 Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.

(a) 25 cm : 1 m and Rs 40 : Rs 160

(b)39 litres : 65 litres and 6 bottles : 10 bottles

(c) 2 kg : 80 kg and 25 g : 625 g

(d) 200 mL : 2.5 litre and Rs 4 : Rs 50

(a) 25 cm : 1 m and Rs 40 : Rs 160

(b)39 litres : 65 litres and 6 bottles : 10 bottles

(c) 2 kg : 80 kg and 25 g : 625 g

(d) 200 mL : 2.5 litre and Rs 4 : Rs 50

(a) 25 cm : 1 m and Rs 40 : Rs 160

1 m = 100 cm

\(\frac{25cm}{100cm} = \frac{1}{4} \)

\(\frac{40}{160} = \frac{1}{4} \)

Yes, these are in a proportion

Middle terms are 1 m, Rs 40 and Extreme terms are 25 cm, Rs 160

(b) 39 litres : 65 litres and 6 bottles : 10 bottles

\(\frac{39}{65} = \frac{3}{5} \)

\(\frac{6}{10} = \frac{3}{5} \)

Yes, these are in a proportion

Middle terms are 65 litres, 6 bottles and Extreme terms are 39 litres, 10 bottles

(c) 2 kg : 80 kg and 25 g : 625 g

\(\frac{2}{80} = \frac{1}{40} \)

\(\frac{25}{625} = \frac{1}{25} \)

No, these are not in a proportion

(d) 200 mL : 2.5 litre and ? 4 : ? 50

2.5 litre = 2500 ml

\(\frac{200}{2500} = \frac{2}{25} \)

\(\frac{4}{50} = \frac{2}{25} \)

Yes, these are in a proportion

Middle terms are 2.5 litres, Rs 4 and Extreme terms are 200 ml, Rs 50