Interest amount earned =$568.75 Principal amount invested = $2500 Rate of interest per year = 6.5% Let us assume the time taken to gain the interest amount = x Then Interest = Principal * Rate * Time 568.75 = 2500 * (6.5%) * x 568.75 = 2500 * (6.5/100) * x 568.75 = 25 * 6.5 * x 568.75 = 162.50x x = 568.75/162.50 = 3.5 years So it will take 3.5 years to earn the interest amount mentioned in the question. I hope the procedure is simple enough for you to undertsand.