rs 407 are to be divided among a b and c..., Ratio & Proportion, General Mathematics

Question:Rs. `407` are to be divided among `A, B` and `C` so that their shares are in the ratio of `1/4 : 1/5 : 1/6`. The respective shares of `A, B, C` are :

A `Rs. 165, Rs. 132, Rs. 110` 
B `Rs. 165, Rs. 110, Rs. 132` 
C `Rs. 132, Rs. 110, Rs. 165` 
D `Rs. 110, Rs. 132, Rs. 165`

/107

+ AnswerA

+ Explanation`A : B : C = 1/4 :  1/5 : 1/6`

`= 15 : 12 : 10`

`A's` share `= Rs. (407 xx (15)/(37))`

`= Rs. 165`,

`B's` share `= Rs. (407 xx (12)/(37))`

`= Rs. 132`,

`C.s` share `= Rs. [407 - (165 + 132)]`

`= Rs. 110`

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