Question

find the amount and the compound interest on 8000 for 1year at 10% per annum compounded half yearly​

Answer 1

Given :

Principle : ₹8000

Rate of interest : 10%

Time : 1 year

To find :

The amount and the compound interest.

Solution :

First, we should find the amount

$\sf \dashrightarrow Amount = Principle \bigg( 1 + \dfrac{Rate}{100} \bigg)^{Time}$

$\sf \dashrightarrow 8000 \bigg( 1 + \dfrac{10}{100} \bigg)^{1(2)}$

$\sf \dashrightarrow 8000 \bigg( \dfrac{100 + 10}{100} \bigg)^{2}$

$\sf \dashrightarrow 8000 \bigg( \dfrac{110}{100} \bigg)^{2}$

$\sf \dashrightarrow 8000 \bigg( \dfrac{11}{10} \bigg)^{2}$

$\sf \dashrightarrow 8000 \bigg( \dfrac{11^2}{10^2} \bigg)$

$\sf \dashrightarrow 8000 \bigg( \dfrac{121}{100} \bigg)$

$\sf \dashrightarrow \dfrac{8000 \times 121}{100} = \dfrac{968000}{100}$

$\sf \dashrightarrow \cancel \dfrac{968000}{100} = 9680$

Now, we can calculate the compound interest.

Compound interest :

$\sf \dashrightarrow Amount - Principle$

$\sf \dashrightarrow 9680 - 8000$

$\sf \dashrightarrow Rs.1600$

Hence, the compound interest and the amount are 16800 and 9680 rupees respectively.