Math, asked by 1980seemamishra, 7 hours ago

please give the solution
it's from compound interest​

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Answers

Answered by sugathealean2
14

answer to the attachment

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Answered by whamwham
5

The Concept

Here, we need to know how to calculate the compound interest and the amount. We must remember that:

\bf{Amount=P\:\times \Bigg(1+\dfrac{R}{100} \Bigg)^{n}}

where

  • P = Principal
  • R = Rate of interest
  • n = time (years)

And:

\bf{Compound\:interest=A-P}

where

  • A = Amount
  • P = Principal

Answer

Given:

  • principal = ₹20000
  • time = 3 years
  • rate of interest per annum = 8%

To find:

  • the amount
  • the compound interest

Solution:

★ Finding the amount

Let us substitute the values we know into the formula of how to calculate the amount.

\sf{Amount=20000\:\times \Bigg(1+\dfrac{8}{100} \Bigg)^{3}}

Let us solve it then:

  • Reducing 8/100,

\sf{\Rightarrow Amount=20000\times \Bigg(1+\dfrac{2}{25} \Bigg)^{3}}

  • Adding 1 to 2/25

\sf{\Rightarrow Amount=20000\times \Bigg(\dfrac{27}{25} \Bigg)^{3}}

  • Raising 27/25 to the power of 3,

\sf{\Rightarrow Amount=20000\times\dfrac{27}{25}\times\dfrac{27}{25}\times\dfrac{27}{25}}

  • Simplifying,

\sf{\Rightarrow Amount=\dfrac{20000\times27\times27\times27}{25\times25\times25}}

\sf{\Rightarrow Amount=\dfrac{800\times19683}{25\times25}}

\sf{\Rightarrow Amount=\dfrac{32\times19683}{25}}

\sf{\Rightarrow Amount=\dfrac{629856}{25}}

\boxed{\bf{\Rightarrow Amount=25194.24}}

★ Finding the compound interest

Let us substitute the values we know into the formula of how to calculate the compound interest.

[tex]\sf{Compound\:interest=25194.24 -20000}[/tex]

[tex]\boxed{\bf{Compound\:interest=5194.24 }}[/tex]

Therefore, the amount is ₹25194.24 and the compound interest is ₹5194.24.

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