Anuj and Rajesh each lent the same sum of money for 2 years at 8% simp

1.	Anuj and Rajesh each lent the same sum of money for 2 years at 8% simple interest and compound interest respectively.Rajest received Rs. 64 more than Anuj. Find the money lent by each and interestreceived.
Answer» LET IMT by BALL= $\frac{x \: rs.}{person}$ $interest \: covered \: by \: any = S.I = \frac{P×R×I}{100}$ $\frac{x \times 8 \times2 }{100} = \frac{16x}{100} rs.$ $\small{ interest \: earned \: by \: rajesh = amount - principal}$ $= x( \frac{ 1 + r}{100} {)}^{t} - x$ $= x( \frac{1 + 8}{100} {)}^{2} - x$ $x( \frac{108}{100} {)}^{2} - 1$ $x(0.1664)$ $diff. \: of \: interest = 0.1664x - 0.16x$ $= 0.0064x = 64$ $= \frac{64x}{1000} = 64$ $= > interest \: by \: anuj = 160rs.$ $= > interest \: by \: rajesh = 1664rs.$