Question

31. Calculate the amount (a) Rs
10,800 for 2 years at 25% per
annum compounded annually.
A.Rs. 16000
B.Rs. 16800
C.Rs.16875

D.None​

Answer 1

Answer:

the correct answer is option (B)

Answer 2

S O L U T I O N :

$\underline{\bf{Given\::}}$

• Principal, (P) = Rs.10800
• Rate, (R) = 25% p.a
• Time, (n) = 2 years

$\underline{\bf{Explanation\::}}$

As we know that formula of the compounded annually;

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

A/q

$\mapsto\tt{Amount = 10800\bigg(1+\dfrac{25}{100} \bigg)^{2}}$

$\mapsto\tt{Amount = 10800\bigg(1+\cancel{\dfrac{25}{100}} \bigg)^{2}}$

$\mapsto\tt{Amount = 10800\bigg(1+\dfrac{1}{4} \bigg)^{2}}$

$\mapsto\tt{Amount = 10800\bigg(\dfrac{4+1}{4} \bigg)^{2}}$

$\mapsto\tt{Amount = 10800\bigg(\dfrac{5}{4} \bigg)^{2}}$

$\mapsto\tt{Amount = \cancel{10800}\times \dfrac{5}{\cancel{4}} \times \dfrac{5}{\cancel{4}} }$

$\mapsto\tt{Amount = Rs.(675 \times 5 \times 5 )}$

$\mapsto\bf{Amount = Rs.16875}$

Thus,

The amount of the compounded annually will be Rs.16875 .

Option (C) .