Math, asked by pp4303, 1 year ago

A certain sum of money amounts to 5/4 of itself in 5 year. Find the rate percent per annum.

Answers

Answered by Swayze
31


explanation

Let the principal be x, Amount in 5 yrs = 5/
4x  

            therefore 

SI = (Amount – Principal) =  5/4x – x = 1/
4.x

SI = P × R × T / 100

x/4 = x × R × 5 / 100

 ⇒ R = 5%


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Answered by sanjeevk28012
2

Given :

A certain sum of money amounts to \dfrac{5}{4} of itself in 5 year

To Find :

The rate percentage per annum

Solution :

From compound interest method

Let the rate of interest = r%

Amount = Principal × (1+\dfrac{rate}{100})^{time}

Or,  A = P × (1+\dfrac{r}{100})^{t}

Or,  \dfrac{5}{4} P = P × (1+\dfrac{r}{100})^{5}

or,  \dfrac{5}{4} =  (1+\dfrac{r}{100})^{5}

Taking power \dfrac{1}{5} both side

i.e   ( \dfrac{5}{4})^{\dfrac{1}{5}}  =  ((1+\dfrac{r}{100})^{5})^{\dfrac{1}{5} }

Or,  1.04 = (1+\dfrac{r}{100})

Or,   \dfrac{r}{100} = 1.04 - 1

i.e  \dfrac{r}{100} = .04

∴    rate = 4 %

Hence, The rate of interest per annum is 4%  Answer

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