a person gave rs 2500 to eldest son 5 12 of the..., Simplification, General Mathematics

Question:A person gave Rs `2500` to eldest son,`5/12` of the whole property to the second son and to the youngest as much as to the first and second son toghether .How much did the youngest son get ?

A `Rs 10000` 
B `Rs 15000` 
C `Rs 20000` 
D Rs 25000`

/94

+ AnswerB

+ ExplanationLet total property be worth of Rs .x.Then

`2500 + (5x)/12 + (2500 + (5x)/12) = x`

or` 2 (2500 + (5x)/12) = x`

or` 5000 + (5x)/6 = x`

or` x - (5x)/6 = 5000`

`x/6 = 5000`

or `x = 30000`.

:. youngest son gets = Rs `(2500 + (5 xx 30000)/12)`

`= Rs. 15000`.

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