rs 600 are divided among a b c so that 40..., Ratio & Proportion, General Mathematics

Question:`Rs. 600` are divided among `A, B, C` so that `Rs. 40` more than `2/5`th of `A's` share, `Rs. 20` more than `2/7`th of `B's` share and `Rs. 10` more than `9/(17)`th of `C's` share may all be equal. What is `A's` share ?

A `Rs. 150` 
B `Rs. 170` 
C `Rs. 200` 
D `Rs. 280`

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+ AnswerA

+ Explanation`2/5A + 40 = 2/7B + 20 = 9/(27)C + 10 = x`.

`:. A = 5/2 (x - 40), B = 7/2 (x - 20)`

and `C = (17)/9 (x - 10)`.

`:. 5/2 (x - 40) + 7/2 (x - 20) + (17)/9 (x - 10) = 600`

or `x = 100`.

`:. A's` share `= Rs. [5/2 (100 - 40)]`

`= Rs. 150`.

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