if rs 1066 are divided among a b c and d..., Ratio & Proportion, General Mathematics

Question:If Rs `1066` are divided among `A, B, C` and `D` such that `A : B = 3 : 4, B : C = 5 : 6`and `C : D = 7 : 5`, who will get the maximum ?

A `B` 
B `A` 
C `C` 
D `D`

/107

+ AnswerC

+ Explanation`A : B = 3 : 4`, 

`B : C = 5 : 6`

`= 5 xx 4/5 : 6 xx 4/5`

`= 4 : (24)/5`.

`:. A : B : C =  4 : (24)/5`

`= 15 : 20 : 24 & C : D = 7 : 5`

or `A : B : C = 15 : 2o : 24 & C : D = (24)/7 xx 7 : (24)/7 xx 5`

or` A : B : C = 15 : 2o : 24 & C : D = 24 : (120)/7`.

`:. A : B : C : D = 15 : 20 : 24 : (120)/7`

`= 105 : 140 : 168 : 120`

Clearly, `C` will get the maximum amount.

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