The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 19. Find the sum : Choose the correct choice from the following.
A) 4500 B) 7600 C) 5000 D) 6000 E) None of these
Sol.(d) Let the sum be 100.   Therefore, SI = 100×5×2100=10100×5×2100=10   and CI = 100(1+5100)2−100100(1+5100)2−100   ∴ =100×21×2120×20−100=414=100×21×2120×20−100=414   Difference of CI and SI = 41⁄4 - 10 = 1⁄4   If the difference is 1⁄4 , the sum = 100   =&gt; If the difference is 19, the sum   = 400 × 19 = 7600 Answer 7600
<result>B</result>
The difference between compound interest and simple interest on a certain amount of money at 5% per annum for 2 years is 19. Find the sum :