Question

pls give me answer

At what percentage per annum will Rs 625 amount to Rs 676 in 2 year when compounded annually?​

Answer 1

$given \: \: \: \: \: \: \: \: \: \: \</p><p></p><p>\text{Principal, P=Rs.625}Principal, P=Rs.625</p><p></p><p>\text{Number of years, n=2 years}Number of years, n=2 years</p><p></p><p>\textbf{To find:}To find:</p><p></p><p>\text{Rate of interest}Rate of interest</p><p></p><p>\text{By using compund interest formula}By using compund interest formula</p><p></p><p>\textbf{Amount= \bf\,P(1+\dfrac{r}{100})^n }Amount=P(1+100r)n</p><p></p><p>676=625(1+\dfrac{r}{100})^2676=625(1+100r)2</p><p></p><p>\implies(1+\dfrac{r}{100})^2=\dfrac{676}{625}⟹(1+100r)2=625676</p><p></p><p>\implies\,1+\dfrac{r}{100}=\dfrac{26}{25}⟹1+100r=2526</p><p></p><p>\implies\dfrac{r}{100}=\dfrac{26}{25}-1⟹100r=2526−1</p><p></p><p>\implies\dfrac{r}{100}=\dfrac{1}{25}⟹100r=251</p><p></p><p>\implies\,r=\dfrac{100}{25}⟹r=25100</p><p></p><p>\implies\bf\,r=4\%⟹r=4%</p><p></p><p>\therefore\textbf{The rate of interest is 4 \% }∴The rate of interest is 4%</p><p></p><p>$

Answer 2

Answer:

4%

Step-by-step explanation:

675 = 625(1 + R/100)^2

(26/25)^2 = (1 + R/ 100)^2

(26/25 - 1) = (R/100)

1/25 = R/100

R = 1 × 100/25

R = 4%