Question

Calculate the amount and compound interest on rs.10000 for 3years at 12% per annum compound anually??​

Answer 1

Question :-

Calculate the amount and compound interest on rs.10000 for 3years at 12% per annum compound anually??

Solution :-

Given :

• principle (p) = 10,000
• Time (T) = 3 years
• Rate (R) = 12%

Formula :

• $\small {\boxed{ \sf{Amount (A) = P{( \frac{1+R}{100} )} ^{n} }}}$

Solution :-

★ $\small{ \sf{Amount (A) = P{( \frac{1+R}{100} )} ^{2} }}$

⇒$\small{ \sf{Amount (A) = 10000{( \frac{1+12}{100} )} ^{3} }}$

⇒$\small{ \sf{Amount (A) = 10000{( \frac{1+3}{25} )} ^{3} }}$

⇒$\small{ \sf{Amount (A) = 10000{( \frac{25 + 3}{25} )} ^{3} }}$

⇒$\small{ \sf{Amount (A) = 10000{( \frac{28}{25} )} ^{3} }}$

⇒$\small{ \sf{Amount (A) = 10000( \frac{28 \times 28 \times 28}{25 \times 25 \times 25} )}}$

⇒$\small{ \sf{Amount (A) = 16( \frac{21952}{25} )}}$

⇒ $\small { \bold{Amount (A) = 14049.28}}$

• Amount of per annum is 14,049.28

Now,

★ Amount = principle + Interest

⇒14,049.28 = 10000 + Interest

⇒14,049.28 - 10000 = Interest

⇒4049.28 = Interest

• compound interest on rs.10000 for 3years at 12% per annum compound anually is 4049.28

Answer 2

Question :-

Calculate the amount and compound interest on rs.10000 for 3years at 12% per annum compound anually??

Solution :-

Given :

principle (p) = 10,000

Time (T) = 3 years

Rate (R) = 12%

Formula :

\small {\boxed{ \sf{Amount (A) = P{( \frac{1+R}{100} )} ^{n} }}}

Amount(A)=P( 1001+R ) n

Solution :-

★Amount (A) = P{1+R}/{100}^2

Amount(A)=P( 1001+R ) 2

Amount (A) = 10000/1+12

100 ^3Amount(A)=10000( 1001+12 ) 3

Amount (A) = 10000/1+3

25 ^3Amount(A)=10000( 251+3 ) 3

⇒Amount (A) = 10000/25 + 3

25^3

Amount(A)=10000( 2525+3 ) 3

⇒Amount (A) = 10000/28

25^3Amount(A)=10000( 2528 ) 3

⇒Amount (A) = 10000/Amount(A)=10000( 25×25×2528×28×28 )

⇒Amount (A) = 16/21952

25Amount(A)=16( 2521952 )

⇒ Amount (A) = 14049.28

Amount(A)=14049.28

Amount of per annum is 14,049.28

Now,

★ Amount = principle + Interest

⇒14,049.28 = 10000 + Interest

⇒14,049.28 - 10000 = Interest

⇒4049.28 = Interest

compound interest on rs.10000 for 3years at 12% per annum compound anually is 4049.28