a man invested 1 3 of his capital at 75 1..., Simple Interest, General Mathematics

Question:A man invested `1/3` of  his capital at `75 ; 1/4` at `8%` and the remainder at `10%`. If his annual income is Rs.`561`, the capital.

A `Rs. 5400` 
B `Rs. 6000` 
C `Rs. 6600` 
D `Rs. 7200`

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+ AnswerC

+ ExplanationLet total capital be x.Then,

(x/3 xx 7/100 xx 1) + (x/4 xx 8/100 xx 1) + ((5x)/12 xx 10/100 xx 1)`

`= 561`

`or (7x)/300 + x/50 + x/24`

`= 561`

`or 51x = (561 xx 600)`

`or x = ((561 xx 600)/51)`

`= 6600`.

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