Question

calculate the amount and compound interest ones 10800 for 3 years at 12%per annum compounded annulya ​

Answer 1

${\boxed{\underline{\tt{ \orange{Required \: \: Answer:-}}}}}$

◒ GIVEN:-

• Principal (P) = 10800

• Time(T) = 3 years

• Rate (R) = 12% per annually compounded.

◒TO FIND:-

• Amount (A)

• Compound interest.

◒ FORMULA USED:-

$\bf{A =P(1+ \frac{R}{100} )^n}$

$\bf{Amount = Principal + Interest }$

◒SOLUTION:-

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

$: \longrightarrow \: A = 10800(1+ \frac{12}{100} )^3$

$: \longrightarrow\: A = 10800 {( \frac{1}{1} + \frac{12}{100} ) }^{3}$

$: \longrightarrow\: A = 10800 {( \frac{100 + 12}{100}) }^{3}$

$: \longrightarrow\: A = 10800( \frac{112}{100} )^3$

$: \longrightarrow\: A = \frac{9483264}{625}$

${ \boxed{ \purple{ \bf{ \huge{A = 15173.22240}}}}}$

∴ Amount after 3 years = Rs. 15173.22240

Now, Amount = Principal + Interest.

$: \longrightarrow\: 15173.22240 = 10800 + interest$

${ \boxed{ \blue{ \bf{ \huge{Interest = 4373.2241}}}}}$

∴ Compound Interest = Rs. 4373.2241