Question

Principal 8000 Rate 10./ . Time 2Year compound interest

Answer 1

Answer:

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Step-by-step explanation:

.S. I. = Principal X time X rate

100

S.I. = 8000 X 2 X 10

100

S. I. = 1600

Ans = 1600

Answer 2

Correct Question

Find the compound interest if the principle is ₹8000, rate at 10% for 2 years.

Answer

Given :

Principle : ₹8000

Rate of interest : 10%

Time : 2 years

To find :

The compound interest.

Solution :

To find the compound interest, first we should find the amount.

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

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

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

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

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

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

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

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

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

Now, let's find the compound interest.

Compound interest :

$\sf \dashrightarrow Amount - Principle$

$\sf \dashrightarrow 9680 - 8000$

$\dashrightarrow$₹$\sf 1680$

Hence, the compound interest is ₹1680.