Question

The compound interest on Rs. 5000 at 20% per annum for 1 year compounded half-yearly is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$\begin{gathered} \\ \Large{\bf{\green{\underline{AnSwEr\::}}}} \\ \end{gathered}$

• Compounded half yearly = ₹ 3000

$\begin{gathered} \\ \Large{\bf{\red{\underline{GiVeN\::}}}} \\ \end{gathered}$

• Principal = ₹ 5000
• Rate = 20 %
• Time = 1 year

$\begin{gathered} \\ \Large{\bf{\purple{\underline{To \: FiNd\::}}}} \\ \end{gathered}$

• Compounded half-yearly

$\begin{gathered} \\ \Large{\bf{\pink{\underline{SoLuTiOn\::}}}} \\ \end{gathered}$

We know that,

$\small{ \sf{ \red{ \underline{ \boxed{ \sf{compound \: interest \: = \: principal + interest}}}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \small{ \sf{ \red{ \underline{ \boxed{ \sf{ : \implies compound \: interest = \: principal \: + \: \frac{ptr}{100} }}}}}} \: \: \: \: \: \:$

$\sf\: compound \: interest = \dfrac{ \cancel{5000}}{ \cancel2} + \dfrac{50 \cancel{00} \times \cancel {20 } \: \: \: 10\times 1}{ \cancel2 \times \cancel{100}} \\ \\ : \: \implies \: 2500 + 500 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : \: \implies \: 3000 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{ \pink{ \underline{compounded \: half \: yearly \: = \: 3000}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$