Determine if the following ratios form a proportion Also write the middle terms and extreme terms where the ratios form a proportion Mathematics cbse std 6th Ratio and Proportion

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## Determine if the following ratios form a proportion. Also, write the middle terms and extreme terms where the ratios form a proportion.-Mathematics-cbse-std 6th-Ratio and 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

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(a) 25 cm ∶ 1 m
= 25 cm ∶ (1 x 100) cm = 25 cm ∶ 100 cm = 1 ∶ 4
Rs. 40 ∶ Rs. 160 = 1 ∶ 4
Since the ratios are equal, therefore these are in proportion.
Middle terms = 1 m, Rs. 40 and Extreme terms = 25 cm, Rs. 160
(b) 39 litres ∶ 65 litres =
6 bottles ∶ 10 bottles = 3 ∶ 5
Since the ratios are equal, therefore these are in proportion.
Middle terms = 65 litres, 6 bottles and Extreme terms = 39 litres, 10 bottles
(c) 2 kg ∶ 80 kg = 1 ∶ 40
25 g ∶ 625 g = 1 ∶ 25
Since the ratios are not equal, therefore these are not in proportion.
(d) 200 ml ∶ 2.5 litres
= 200 ml ∶ (25 x 1000) litres = 200 ml ∶ 2500 ml = 2 ∶ 25
Rs. 4 ∶ Rs. 50 = 2 ∶ 25
Since the ratios are equal, therefore these are in proportion.
Middle terms = 2.5 litres, Rs. 4 and Extreme terms = 200 ml, Rs. 50.

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