Question

find the amount and the compound interest on Rs 12800 for 2 yrs at 10% p.a, compounded semi- annually.

Answer 1

calculate using CI semi annually=P((1+r/200)^2T)-1
and the amount is principal +compound interest semi annually ..hope it helps

Answer 2

Answer:

Amount = Rs.13440

Compound interest = Rs.640

Step-by-step explanation:

Given : Rs 12800 for 2 yrs at 10% p.a, compounded semi- annually.

To find : The amount and the compound interest ?

Solution :

Using compound interest formula,

$A=P(1+r)^t$

Where A is the amount  

P is the principle P=12800  

r is the rate r=10%=0.1

compound semi-annually $r=\frac{0.1}{2}=0.05$

t is the time t= 2 years

compound semi-annually t=1 year

Substitute the value,

$A=P(1+r)^t$

$A=(12800)(1+0.05)^1$

$A=12800\times 1.05$

$A=13440$

Therefore, Amount =Rs. 13440

We know that,

Compound interest = Amount - principle

                                 = 13440 - 12800

                                 = Rs. 640