Question:`A` sum of Rs. `427` is to be divided among `A, B` and `C` such that `3` times `A's` share, `4` times `B's share and `7`times `C's` share are all equal. The share of `C` is : 

A `Rs. 84` 
B `Rs. 147` 
C `Rs. 196` 
D `Rs. 240` 

+ Answer
A 

+ Explanation
`3A = 4B = 3C = k`. Then,

`A = k/3, B = k/4` and `C = k/7`.

`:. A : B : C = k/3 : k/4 : k/7`

`= 28 : 21 : 12`.

`:. C's` share `= Rs. (427 xx (12)/(61))`

`= Rs. 84`.

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Md. Habib Ullah

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