rs 2189 are divided into three parts such that their amounts after..., Simple Interest, General Mathematics

Question:Rs.`2189` are divided into three parts such that their amounts after `1,2` and `3` years respectively may be equal, the rate of simple interest being `4%` p.a. in all case. The smallest part is ;

A `Rs. 702` 
B `Rs. 597` 
C `Rs. 756` 
D `Rs. 1093`

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+ AnswerB

+ ExplanationLet these part be x.y and `[2189 - (x + y)`.Then,

`(x xx 1 xx 4)/100`

`= (y xx 2 xx 4)/100`

`= ([2189 - (x + y)] xx 3 xx 4)/100`

`:. x/y = 2`

`or x = 2y`

`:. (2y xx 1 xx 4)/100`

`= ((2189 - 3y) xx 3 xx 4)/100`

`or 44y = 2189 xx 12`.

`:. y = ((2189 xx 12)/44)`

`= 597`

:. Smallest part`= Rs. 597`.

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