Question

can anyone solve this
I will mark you as brilliant
​

Answer 1

Answer:

D

Step-by-step explanation:

(8/100)*10000=800=CI

therefore amount= 10000+800=10800

Answer 2

Given:-

• Principal (P) = 10000
• Time (n) = 1 year
• Rate (R) = 8%

To find:-

• Amount. (When compounded half-yearly)
• Compound Interest.

Solution:-

We know,

$\sf{A = P\bigg(1+\dfrac{r}{200}\bigg)^{2n}}$

= $\sf{A = 10000\bigg(1+\dfrac{8}{200}\bigg)^{2\times1}}$

= $\sf{A = 10000\bigg(\dfrac{200+8}{200}\bigg)^2}$

= $\sf{A = 10000\bigg(\dfrac{208}{200}\bigg)\bigg(\dfrac{208}{200}\bigg)}$

= $\sf{A = 104\times 104}$

= $\sf{A = 10816}$

Therefore,

Amount = Rs.10816

Now,

$\sf{CI = A-P}$

= $\sf{CI = 10816 - 10000}$

= $\sf{CI = 816}$

Therefore,

Compound Interest (CI) = Rs.816

Therefore,

Option (a) is the correct answer.

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Formulas To be kept in Mind:-

Use:-

$\sf{A = P\bigg(1+\dfrac{r}{100}\bigg)^n}$

When the principal is compounded annually.

Use:-

$\sf{A = P\bigg(1+\dfrac{r}{400}\bigg)^{4n}}$

When the principal is compounded quarterly.

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Here (In this question):-

Formula,

$\sf{A = P\bigg(1+\dfrac{r}{200}\bigg)^{2n}}$ is used because the principal is compounded half-yearly.

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Note:-

Time is also denoted by t.

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