Question

1. Calculate the amount and compound interest on

(a) ₹ 10,800 for 3 years at 12½ % per annum compounded annually.

Answer 1

1. Calculate the amount and compound interest on

(a) ₹ 10,800 for 3 years at 12½ % per annum compounded annually.

Ans. Amount - ₹ 15377.34

C.I. - ₹ 4577.34

Step by step explanation :

Refer to the attachment

Answer 2

Given :

• Principal, (P) = Rs.10800
• Rate, (R) = 12 ½% p.a
• Time, (n) = 3 years

Solution :

As we know that formula of the compounded annually;

formula used :

${ \underline{\boxed{\bf{ \pink{Principal=Amount \bigg(1+\frac{R}{100} \bigg)^{n}}}}}}$

According to Question :

$\tt: \implies{Amount = 10800\bigg(1+\dfrac{ \frac{25}{2} }{100} \bigg)^{3}}$

$\tt: \implies{Amount = 10800\bigg(1+\cancel{\dfrac{25}{200}} \bigg)^{3}}$

$\tt: \implies{Amount = 10800\bigg(1+\dfrac{1}{8} \bigg)^{3}}$

$\tt: \implies{Amount = 10800\bigg(\dfrac{9}{8} \bigg)^{3}}$

$\tt: \implies{Amount ={10800}\times \dfrac{9}{8}\times \dfrac{9}{8}\times \dfrac{9}{8}}$

${ \boxed{ \frak{: \implies{ \red{Amount = Rs.15,377.3438}}}}}$

now,

$\tt : \implies \: compound \: interest = A - P$

$\tt : \implies \: 15,377.3438 - 10,800$

${ \boxed{ \frak{: \implies{ \purple{Rs. 4,577.3438 }}}}}$