the difference between compound interest and simple interest on a sum for 2 years at 8 % p.a. is Rs. 768. Find the sum
Let the amount of money invested =M, then we have:
{M x [1.08]^2 - M} - {M x 0.08 x 2} = 768, solve for M
{ 1.1664M - M} - {0.16M} =768
0.0064M =768 Divide both sides by 0.0064
M = 768 / 0.0064
M =120,000 Rs - The principal amount invested.
Compound interest =19,968
Simple interest =19,200
19,968 - 19,200 =768 Rs.