Math, asked by akankshaguptaji8, 7 months ago

please buddy solve the question iska answer aaya hai 408​

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Answers

Answered by ZzyetozWolFF
5

Answer:

Amount = 5,408

Compound Interest = 408

Step-by-step explanation:

Given

  • Principal = ₹ 5000

  • Rate% = 4%

  • Time = 2years

To Find

  • Compound Interest = ?

Formula Used

{ \sf{ \boxed{ \sf{A =P \bigg( \frac{1 + r}{100}  \bigg) ^{T}  }}}}

 \sf {\boxed{ \sf{CI = Amount - Principal}}}

Procedure

We Know

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

 \sf \: Amount = 5000 \bigg(1  +  \dfrac{r}{100}  \bigg)^{2}

 \implies \sf \: A = 5000  \times  \dfrac{104}{100}  \times  \dfrac{104}{100}

 \implies \sf \: A = 104 \times 52

 \implies \sf \: A = 5408

Amount = 5,408

We know ,

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

 \sf {{ \sf{CI = 5408 - 5000}}}

\sf {{ \sf{CI = 408 }}}

CI = 408

What you need to know ?

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

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

These two formulas are base of solving Compound Interest question. All questions are solved using these two formulas.

Answered by ƦαíηвσωStαƦ
9

{\mathbf {\blue{S}{\underline{\underline{olution:-}}}}}

\mathfrak{\underline{AnswEr:-}}

  • The Amount is Rs. 5408
  • The Compound Interest is Rs. 408

\mathfrak{\underline{Given:-}}

  • The given Principal is Rs. 5000
  • The given Rate is 4%
  • The given Time is 2 years

\mathfrak{\underline{Need\:To\: Find:-}}

  • The amount = ?
  • The compound interest = ?

{\mathbf {\blue{E}{\underline{\underline{xplanation:-}}}}}

In 1st case:

\:\:\:\:\dag\bf{\underline \green{Formula\:used\:here:-}}

\bigstar{\underline{\boxed{\sf\purple{Amount = P\bigg(\dfrac{100+r}{100}\bigg)^n}}}} \\\\

\:\:\:\:\dag\bf{\underline \blue{Putting\:the\:values:-}}

\longrightarrow \sf {Amount = 5000\bigg(1 + \dfrac{r}{100} \bigg) } \\\\

\longrightarrow \sf {Amount = 5000 \times \dfrac{104}{100} \times \dfrac{104}{100}} \\\\

\longrightarrow \sf {Amount = 104 \times 52} \\\\

\longrightarrow \sf {Amount = 5408} \\\\

\:\:\:\:\dag\bf{\underline{\underline \blue{Hence:-}}}

  • The amount is Rs. 5,408

\rule{200}{2}

Now, In 2nd case:

\:\:\:\:\dag\bf{\underline \green{Formula\:used\:here:-}}

\bigstar{\underline{\boxed{\sf\purple{Compund\: Interest = Amount - Principal}}}} \\\\

\:\:\:\:\dag\bf{\underline \blue{Putting\:the\:values:-}}

\longrightarrow \sf {Compound\: Interest = 5408 - 5000} \\\\

\longrightarrow \sf {Compund\: Interest = 408} \\\\

\:\:\:\:\dag\bf{\underline{\underline \blue{Hence:-}}}

  • The compound interest is Rs. 408

\rule{200}{2}

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