Are the following statements true?

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


(b) 7.5 litres : 15 litres = 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.

(a) In the given question,


We have to check if the given statement is true.


Now,


We can check this as follows,



And,



Therefore,


40 : 200 = 15 : 75


Hence,


We can clearly observe that,


The given statement is true.


(b) In the given question,


We have to check if the given statement is true.


Now,


We can check this as follows,



And,



Therefore,


7.5 : 15 = 5 : 10


Hence,


We can clearly observe that,


The given statement is true.


(c) In the given question,


We have to check if the given statement is true.


Now,


We can check this as follows,



And,



Therefore,


99 : 45 = 44 : 20


Hence,


We can clearly observe that,


The given statement is true.


(d) In the given question,


We have to check if the given statement is true.


Now,


We can check this as follows,



And,



Therefore,


32 : 64 = 6 : 12


Hence,


We can clearly observe that,


The given statement is true.


(e) In the given question,


We have to check if the given statement is true.


Now,


We can check this as follows,



And,



Therefore,


45 : 60 ≠ 12 : 15


Hence,


We can clearly observe that,


The given statement is false.


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