Question

If 33% of A is equal to 55% of B then the ratio of A and B is

Answer 1

A : B = 5 : 3  If 33% of A is equal to 55% of B

Step-by-step explanation:

33 % of   A  =     (33/100)A

55% of B  = (55/100)B

(33/100)A  = (55/100)B

=> 33A  =  55B

=> A/B = 55/33

=> A /B = 5/3

=> A : B = 5 : 3

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Answer 2

The ratio of A and B is A:B =5:3.

We know if percentage has to be calculated its value is always taken to be from 100.

So as 33% of A has value = 33/100.

And 55% of B so value is =55/100.

We know that ratio is quantitative relation of two amounts showing the number of times one value is or contained within other value.

So ratio between A and B is :-

33% of A = (33/100)A.

55% of B = (55/100)B.

So ratio of A:B is:--

(33/100)A : (55/100)B

=> A:B = 55/100 : 33/100

=> A:B = 55/33

=> A:B = 5:3

So the ratio A : B is 5 : 3.