rs 730 were divided among a b c in such a..., Ratio & Proportion, General Mathematics

Question:`Rs. 730` were divided among `A, B, C` in such a way that if `A` gets `Rs. 3`, then `B` gets `Rs. 4` and if `B` gets `Rs. 3.50` then `C` gets `Rs. 3`. The share of `B` exceeds that of `C` by :

A `Rs. 30` 
B `Rs. 40` 
C `Rs. 70` 
D `Rs. 210`

/107

+ AnswerB

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

`B : C = 7/2 : 3`

`= 8/7 xx 7/2 : 8/7 xx 3`

`= 4 : (24)/7`

`A : B : C = 3 : 4 : (24)/7`

`= 21 : 28 : 24`.

`B's` share `= Rs. (730 xx (28)/(73))`

`= Rs. 280`.

`C's` share `= Rs. (730 xx (24)/(73))`

`= Rs. 240`.

`:.` Difference of their shares `= Rs. 40`.

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