₹. ₹ 1600 पर \( 7 \frac{1}{4} \% \) वार्षिक ब्याज की दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात कीजिए।

Given: Principal amount (P) = ₹1600 Annual interest rate = \( 7 \frac{1}{4} \% \) = 7.25% Time period (t) = 2 years We need to find the compound interest after 2 years. The formula for compound interest is: \[ A = P \left(1 + \frac{r}{100}\right)^t \] Where: A = Amount after t years P = Principal amount r = Annual interest rate t = Time period Substitute the given values into the formula: \[ A = 1600 \left(1 + \frac{7.25}{100}\right)^2 \] Now, we can calculate the compound interest after 2 years. Calculate the value by following steps: - step0: Calculate: \(1600\left(1+\frac{7.25}{100}\right)^{2}\) - step1: Divide the terms: \(1600\left(1+\frac{29}{400}\right)^{2}\) - step2: Add the terms: \(1600\left(\frac{429}{400}\right)^{2}\) - step3: Simplify: \(1600\times \frac{429^{2}}{400^{2}}\) - step4: Rewrite the expression: \(400\times 4\times \frac{429^{2}}{400^{2}}\) - step5: Reduce the numbers: \(\frac{429^{2}}{100}\) The compound interest after 2 years is ₹1840.41.