Question

Are the following statements true: 

(a) 40 persons : 200 persons = Rs.15 : Rs.75 

(b) 7.5 liters : 15 liters = 5 kg = 10 kg 

(c) 99 kg : 45 kg = Rs.44 : Rs.20 

(d) 32 m : 64 m = 6 sec. : 12 sec. 

(e) 45 km : 60 km = 12 hours : 15 hours

Answer 1

(a) 40 persons : 200 persons = 40/200  =1/5 = 1 : 5 Rs.15 : Rs.75 = 15/75  = 1/5 = 1 : 5 

Since, 40 persons : 200 persons = Rs.15 : Rs.75 

Hence, the statement is true. 

(b) 7.5 liters : 15 liters = 7.5/15 = 75/150 = 1/2 = 1 : 2 

5 kg : 10 kg = 5/10  = 1/2 = 1 : 2 

Since, 7.5 liters : 15 liters = 5 kg : 10 kg 

Hence, the statement is true. 

(c) 99 kg : 45 kg = 99/45 = 11/5 = 11 : 5 

Rs.44 : Rs.20 = 44/20 =11/5 = 11 : 5 

Since, 99 kg : 45 kg = Rs.44 : Rs.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 ¹ 12 hours : 15 hours 

Hence, the statement is true