• # question_answer 32) Divide Rs. 100000 into two parts so that the S.I on the first part for 6 years at 10% per annum is equal to S.I on the second part for 3 years at 20% per annum. A)  Rs. 40000, Rs. 60000B)  Rs. 30000, Rs. 70000C)  Rs. 60000, Rs. 40000D)  Rs. 50000, Rs. 50000

(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$