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in Ratio and Proportion by (48.7k points)
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Are the following statements True? 

(i) 30 sec : 1 min :: 16 m : 32 m 

(ii) 2.5l : 5l :: 25 m : 50 m 

(iii) 44 Rs. : 20 Rs. :: 66l : 30l 

(iv) 12 m : 15 m :: 48 kg : 64 kg

1 Answer

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Best answer

(i) 30 sec : 1 min :: 16 m : 32 m 

⇒ 30 : 60 :: 16 : 32 (∵ 1 min = 60 sec) 

⇒ 30 × 32 = 60 × 16 

⇒ 960 = 960 

Thus, this statement is true. 

(ii) 2.5l : 5l :: 25 m : 50 m 

⇒ 2.5 : 5 :: 25 : 50 

⇒ 5 × 25 = 2.5 × 50 

⇒ 125 = 125 

Thus, this statement is true. 

(iii) 44 Rs. : 20 Rs. :: 66l : 30l 

⇒ 44 : 20 :: 66 : 30 

⇒ 44 × 30 = 66 × 20 

⇒ 1320 = 1320 

Thus, this statement is true.

(iv) 12 m : 15 m :: 48 kg : 64 kg 

⇒ 12 : 15 :: 48 : 64 

⇒ 12 × × = 15 × 48 

⇒ 768 ≠ 720 

Thus, this statement is not true.

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