A) Rs. 40000, Rs. 60000
B) Rs. 30000, Rs. 70000
C) Rs. 60000, Rs. 40000
D) Rs. 50000, Rs. 50000
Correct Answer: D
Solution :
(d) Let one part by Rs.\[x\]. Then the other part is\[Rs.\,\,(100000-x)\]. \[{{T}_{1}}=6\] years; \[{{R}_{1}}=10%\] \[\therefore \] S.I. (on first part) \[\frac{x\times 6\times 10}{100}=Rs.\frac{3x}{5}\] \[{{T}_{2}}=3\] years; \[{{T}_{2}}=3\] S.I (on second part) \[\frac{\left( 100000-x \right)\times 3\times 20}{100}\] \[=\left( 100000-x \right)\times \frac{3}{5}\] \[\Rightarrow \]\[\frac{3x}{5}=\left( 100000-x \right)\times {}^{3}/{}_{5}\Rightarrow x=100000-x\] \[\Rightarrow \]\[x=50000\]
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