We have,principal, P = Rs 3125Amount, A = Rs 4500Time, n = 2 yrsLet R be the rate of interest Now, A = P1 + R100n⇒4500 = 31251 + R1002⇒45003125 = 1 + R1002⇒900625 = 1 + R1002⇒3025 = 1 + R100⇒3025 = 100 + R100⇒2500 + 25R = 3000⇒25R = 3000 - 2500⇒25R = 500⇒R = 50025 = 20So, rate of interest is 20% p a

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We have, principal, P = Rs 3125 Amount, A = Rs 4500 Time, n = 2 yrs Let R be the rate of interest . Now, A = P {(1 + \frac{R}{100})}^{n} \Rightarrow 4500 = 3125 {[1 + \frac{R}{100}]}^{2} \Rightarrow \frac{4500}{3125} = {[1 + \frac{R}{100}]}^{2} \Rightarrow \frac{900}{625} = {[1 + \frac{R}{100}]}^{2} \Rightarrow \frac{30}{25} = [1 + \frac{R}{100}] \Rightarrow \frac{30}{25} = \frac{100 + R}{100} \Rightarrow 2500 + 25 R = 3000 \Rightarrow 25 R = 3000 - 2500 \Rightarrow 25 R = 500 \Rightarrow R = \frac{500}{25} = 20 So, rate of interest is 20 % p . a .

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