Are the following statements true: (a) 40 persons : 200 persons = ₹15 : ₹75 (b) 7.5 litres : 15 litres = 5 kg : 10 kg (c) 99 kg : 45 kg = ₹44 : ₹20 (d) 32 m : 64 m = 6 sec. : 12 sec. (e) 45 km : 60 km = 12 hours : 15 hours

(a) 40 persons : 200 persons = 40/200 = 1/5 = 1:5
₹15 : ₹75 = 15/75 = 1/5 = 1:5
Since, 40 persons : 200 persons = ₹15 : ₹75
Hence, the statement is true.

(b) 7.5 litres : 15 litres = 7.5/15=75/150=1/2=1:2
5 kg : 10 kg = 5/10 = 1/2 = 1 : 2
Since, 7.5 litres : 15 litres = 5 kg : 10 kg
Hence, the statement is true.

(c) 99 kg : 45 kg = 99/45=11/5=11:5
₹44 : ₹20 = 44/20=11/5 = 11 : 5
Since, 99 kg : 45 kg = ₹44 : ₹20
Hence, the statement is true.

(d) 32 m : 64 m = 32/64 = 1/2 = 1:2
6 sec : 12 sec = 6/12 = 1/2 = 1:2
Since, 32 m : 64 m = 6 sec : 12 sec
Hence, the statement is true.

(e) 45 km : 60 km = 45/60=3/4=3:4
12 hours : 15 hours = 12/15=4/5=4:5
Since, 45 km : 60 km ≠ 12 hours : 15 hours
Hence, the statement is not true.

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