Question

find the compound interest for the following using the first principle
10000 at p. a. 15% for 3 year
​

Answer 1

Given:-

• Principal = Rs.10000
• Rate = 15% p.a.
• Time = 3 years

To find:-

• Amount after 3 years
• Compound Interest after 3 years.

Solution:-

We are given with the principal, rate and time

We know,

To find amount we use the formula:-

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

Hence,

Putting all the values:-

$\sf{A = 10000\bigg(1+\dfrac{15}{100}\bigg)^3}$

$\sf{A = 10000\bigg(\dfrac{100+15}{100}\bigg)^3}$

$\sf{A = 10000\bigg(\dfrac{115}{100}\bigg)^3}$

$\sf{A = 10000\bigg(\dfrac{115}{100}\bigg)\bigg(\dfrac{115}{100}\bigg)\bigg(\dfrac{115}{100}\bigg)}$

$\sf{A = 15208.75}$

Therefore, Amount after 3 years will be Rs.15208.75.

Now,

We know,

CI = Amount - Principal

Hence,

CI = 15208.75 - 10000

=> CI = 5208.75

Therefore, CI after 3 years will be Rs.15208.75.

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Explore More!!!

Formula used to find amount when the interest is compounded half-yearly is:-

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

Formula used to find amount when the interest is compounded quarterly is:-

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

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Note:-

Here,

• A = Amount
• P = Principal
• R = Rate
• n = Time
• CI = Compound Interest.

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Answer 2

Answer:

$\huge \sf{ \underline{ \underline{Given:-}}}$

Principal = Rs.10000

Rate = 15% p.a.

Time = 3 years

$\huge \sf{ \underline{ \underline{To \: find:-}}}$

Amount after 3 years

Amount after 3 yearsCompound Interest after 3 years.

$\huge \sf{ \underline{ \underline{Solution:-}}}$

We are given with the principal, rate and time

We know,

To find amount we use the formula:-

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

Hence,

Putting all the values:-

$\bf{A = 10000\bigg(1+\dfrac{15}{100}\bigg)^3}$

$\bf{A = 10000\bigg(\dfrac{100+15}{100}\bigg)^3}$

$\bf{A = 10000\bigg(\dfrac{115}{100}\bigg)^3}$

$\bf{A = 10000\bigg(\dfrac{115}{100}\bigg)\bigg(\dfrac{115}{100}\bigg)\bigg(\dfrac{115}{100}\bigg)}$

$\sf{A = 15208.75}$

Therefore, Amount after 3 years will be Rs.15208.75.

Now,

We know,

$\bf \: CI = Amount - Principal$

Hence,

CI = 15208.75 - 10000

=> CI = 5208.75

Therefore, CI after 3 years will be Rs.15208.75.

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Here,

A = Amount

P = Principal

R = Rate

T = Time Taken

CI = Compound Interest.

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