A) Rs.2000. Rs.6000
B) Rs.5000. Rs.3000
C) Rs.4000, Rs.4000
D) Rs.3000, Rs.5000
Correct Answer: D
Solution :
Let one part be Rs. x. Then the other part is Rs. \[(8000-x)\] \[{{T}_{1}}=5\] years; \[{{R}_{1}}=12%\] \[\therefore \] S.I (on first part) \[=\frac{x\times 5\times 12}{100}=Rs.\,\frac{3x}{5}\] \[{{T}_{2}}=2\] years; \[{{R}_{2}}=18%\] S.I (on second part) \[=\frac{(8000-x\times 2\times 18)}{100}\] \[=(8000-x)\frac{9}{25}\] \[\therefore \] \[\frac{3x}{5}=\frac{9}{25}(8000-x)\] \[\Rightarrow \] \[5x=24000-3x\] \[\Rightarrow \] \[x=\frac{24000}{8}=Rs.\,3000\] \[\therefore \] The other part \[=Rs.\,\,(8000-3000)=Rs.\,\,5000\]
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