A) Rs. 500 at the rate of 10%, Rs. 800 at the rate of 12%
B) Rs. 700 at the rate of 10%, Rs. 600 at the rate of 12%
C) Rs. 800 at the rate of 10%, Rs. 400 at the rate of 12%
D) Rs. 700 at the rate of 10%, Rs. 500 at the rate of 12%
Correct Answer: D
Solution :
Let the person invest amount x and y into two different rates of interest. \[\therefore \] \[\frac{x\times 12\times 1}{100}+\frac{y\times 10\times 1}{100}=130\] \[\left( \because \text{SI=}\frac{\text{PRT}}{\text{100}} \right)\] \[\Rightarrow \] \[12x+10y=13000\] ?(i) and \[\frac{y\times 12\times 1}{100}+\frac{x\times 10\times 1}{100}=134\] \[\Rightarrow \] \[12y+10x=13400\] ?(ii) On solving Eqs. (i) and (ii), we get \[x=Rs.\,500\] and \[y=Rs.\,700\]You need to login to perform this action.
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