Math, asked by anshuman235081, 3 months ago


If the interest is compounded half yearly, calculate the amount when the principal is
Rs.7400, the rate of interest is 5% and the duration is one year.

Answers

Answered by Anonymous
83

Answer:

Amount = Rs.7774.625

Step-by-step explanation:

Refer the attachment

Attachments:
Answered by MoodyCloud
105
  • Amount is Rs 7774.625.

Step-by-step explanation:

Given :-

  • Principal is Rs 7400.
  • Rate of interest is 5%.
  • Time period is 1 year.

To find :-

  • Amount.

Solution :-

  • Here, Interest is compounded half yearly.

So,

 \boxed{\sf \bold{Amount = P \bigg( 1 + \dfrac{r}{200} \bigg) ^{2n} }}

Where,

r is rate of interest.

P is principal.

n is time period

Put, Values in formula :

 \sf \longrightarrow Amount = 7400 \times \bigg( 1 + \dfrac{5}{200} \bigg) ^{2 \times 1} \\ \\

 \sf \longrightarrow Amount = 7400 \times \bigg( \dfrac{200 + 5}{200} \bigg) ^{2} \\ \\

 \sf \longrightarrow Amount = 7400 \times \bigg( \dfrac{205}{200} \bigg) ^{2} \\ \\

 \sf \longrightarrow Amount = 7400 \times \dfrac{42025}{40000} \\ \\

 \sf \longrightarrow Amount = 7400 \times 1.050625 \\ \\

  \longrightarrow \purple{\boxed{\sf \bold{ Amount = 7774.625}}\star}

Therefore,

Amount is Rs 7774.625 .

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Read more!!

• If the interest will be compounded annually or yearly than formula for amount will be :

 \boxed{\sf \bold{Amount = P \times \bigg( 1 + \dfrac{r}{100} \bigg) ^{n}}}

• Formula for compound interest is :

 \boxed{\sf \bold{Compound \: interest = Amount - Principal}}

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