Question

at what rate percent per annum will ₹50,000 amount to ₹86,400 in 3 years,if the interest is compounded annually?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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At what rate % per annum …

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CBSE

Class 08

Mathematics

At what rate % per annum will rs 50000 to rs 86400 in 3 years if interest compounded annually

Posted by Rathi Kajal 3 years, 7 months ago

CBSE > Class 08 > Mathematics

1 answers

Naveen Sharma 3 years, 7 months ago

Ans. Amount (A)= 86400

Time(n) = 3 years

Principal (P)= 50000

Let rate (r) = r%

Then We Know,

{tex}A = P \times ({1 +{r\over 100}})^n{/tex}

{tex}=> 86400 = 50000\times ({1+{r\over 100}})^3{/tex}

{tex}=> {86400\over 50000} = ({1+{r\over 100}})^3{/tex}

{tex}=> {216\over 125} = ({1+{r\over 100}})^3{/tex}

{tex}=> ({6\over 5})^3= ({1+{r\over 100}})^3{/tex}

On comparing, We get

{tex}=> ({6\over 5})= ({1+{r\over 100}}){/tex}

{tex}=> {6\over 5} - 1= {r\over 100}{/tex}

{tex}=> {1\over 5} = {r\over 100} => r = 20\%{/tex}