Question

anoop deposite 25,000Rs at rate of interest 8% calculated at compound. After two years what rupees he will return?​

Answer 1

➤ Given:

• Principal = Rs. 25000
• Rate = 8 %
• Time = 2 years

➤ What To Find:

We have to find the Compound Interest (CI)

➤ Formula For Finding:

• For Amount:-

$\sf{Amount = P \bigg(1 + \dfrac{R}{100} \bigg) ^T}$

• For CI:-

$\sf{CI = Amount - Principal}$

➤ Solution:

• Finding the amount.

Using the formula,

$\sf{\Longrightarrow Amount = P \bigg(1 + \dfrac{R}{100} \bigg) ^2}$

Substitute the values,

$\sf{\Longrightarrow Amount = 25000 \bigg(1 + \dfrac{8}{100} \bigg) ^2}$

Solve the brackets,

$\sf{\Longrightarrow Amount = 25000 \bigg(\dfrac{108}{100} \bigg) ^2}$

Remove the brackets,

$\sf{\Longrightarrow Amount = 25000 \times \dfrac{108}{100} \times \dfrac{108}{100}}$

Cancel the zeros,

$\sf{\Longrightarrow Amount = 25 \times 108 \times \dfrac{108}{10}}$

Multiply 25 by 108,

$\sf{\Longrightarrow Amount = 2700 \times \dfrac{108}{10}}$

Cancel the zeros again,

$\sf{\Longrightarrow Amount = 270 \times 108}$

Multiply 270 by 108,

$\sf{\Longrightarrow Amount = Rs. \: 29160 }$

• Finding the CI.

Using the formula,

$\sf{\Longrightarrow CI = Amount - Principal}$

Substitute the values,

$\sf{\Longrightarrow CI = Rs. \: 29160 - Rs. \: 25000}$

Subtract the amount,

$\sf{\Longrightarrow CI = Rs. \: 4160}$

$\underbrace{\overline{\boxed{\therefore \rm Anoop \: will \: return \: Rs. \: 4160 \: after \: two \: years.}}}$

Answer 2

★ Given :

• Principal = 25000

• Rate = 8%

• Time = 2 years

★ To find :

• After two years what rupees he will return.

★ Solution :

• In the question Principal, rate and time given and we need to find the rupees that anoop will return in 2 years.

• To find Compound interest Firstly we need to find the amount And then The compound interest.

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Let's Find out...!

Amount = P (1 + R/100)ⁿ

➤ 25000 (1 + 8/100)²

➤ 25000 (108/100)²

➤ 25000 × 108/100 × 108/100

➤ 270 × 108

➤ Rs 29160

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C.I = Amount - Principal

➤ 29160 - 25000

➤ 4160

After 2 years anoop will return Rs.4160

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