what is the differences detween comopound interests for 2 years and 3

1.	what is the differences detween comopound interests for 2 years and 3 years for Rs. 500 at 10% rate compounded annually?
Answer» en Principal= RS. 500 Rate = 10% TIME = 2 YEAR's and 3 year's To Find Differences detween COMOPOUND interests for 2 years and 3 years Solution $~~~~~~~~~\boxed{\sf \pink{CI= P\{\left( 1+\dfrac{R}{100}\right) ^{n} -1\}}}$ Compound Interest For 2 year's ${\implies \sf \: CI= 500\{\left( 1+\dfrac{10}{100}\right) ^{2} -1\}}$ ${\implies\sf \: CI= 500\{\left(\dfrac{110}{100}\right) ^{2} -1\}}$ ${\implies\sf \: CI= 500\{\left(\dfrac{11}{10}\right) ^{2} -1\}}$ ${\implies\sf \: CI= 500\left(\dfrac{121}{100} - 1\right) }$ ${\implies\sf \: CI= 500 \times \dfrac{121 - 100}{100}}$ ${\implies\sf \: CI= 5 \times 21}$ $~~~~~~~ \boxed{\sf \: CI_{\pink{2 year's}}=Rs. 105}$ Now Compound Interest For 3 Years ${\implies \sf \: CI= 500\{\left( 1+\dfrac{10}{100}\right) ^{3} -1\}}$ ${\implies \sf \: CI= 500\{\left(\dfrac{110}{100}\right) ^{3} -1\}}$ ${\implies \sf \: CI= 500\{\left(\dfrac{11}{10}\right) ^{3} -1\}}$ ${\implies \sf \: CI= 500\left(\dfrac{1331}{1000} - 1\right) }$ ${\implies \sf \: CI= 500 \times \dfrac{1331 - 1000}{1000}}$ ${\implies\sf \: CI= \dfrac{331}{2}}$ $~~~~~~~ \boxed{\sf \: CI_{\pink{3~ years}}= Rs. 165.5}$ Differences detween compound interests for 2 years and 3 years = 165.5- 105 =Rs. 60.5