• question_answer 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.60000                 B)  Rs. 30000, Rs.70000C)  Rs. 60000, Rs.40000                 D)  Rs. 50000, Rs.50000

(d): Let one part by Rs. x. Then the other part is Rs. (100000 - x). ${{T}_{1}}=6$years; ${{R}_{1}}=10%$ $=x=$ S.I (on first part) $\frac{x\times 6\times 10}{100}=Rs.\frac{3x}{5}$ ${{T}_{2}}=3$years; ${{R}_{2}}=20%$ S.I (on second part) $\frac{\left( 100000-x \right)\times 3\times 20}{100}$ $\frac{\left( 100000-x \right)\times \frac{3}{5}}{100}$ $\Rightarrow \frac{3x}{5}=\left( 100000-x \right)\times \frac{3}{5}\Rightarrow x=100000-x$ $\Rightarrow x=50000$