a man invests an amount of rs 15860 in the name..., Simple Interest, General Mathematics

Question:A man invests an amount of Rs. `15860` in the name of his three sons A,B and C in such a way that they get the same amount after `2,3` and `4` years respectively. If the rate of simple interest is `5%` then the ratio of amounts invested among A,B and C will be :

A `10 : 15 : 20` 
B `22 : 23 : 24` 
C `6 : 4 : 3` 
D `2 : 3 : 4`

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+ AnswerC

+ ExplanationLet the amounts invested be x.y.z. respectively.

Then,`(x xx 2 xx 5)/100`

`= y xx 3 xx 5)/100`

`= (z xx 4 xx 5)/100`

`= k`

:. x = 10k, y = 20/3 k & z = 5k`.

So,` x : y : z = 10k : 20/3 k : 5k`

`= 30 : 20 : 15`

`= 6 : 4 : 3`.

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