Question

4. At what rate of simple interest will * 5791 amount to *7817.85 in 5 years? ​

Answer 1

Answer:

• Rate of interest = 7%

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Step-by-step explanation:

Given :

$\sf where \begin{cases} & \sf{principal = 5791} \\ \\ & \sf{amount = 7817.85} \\ \\& \sf{time = 5 \: years} \end{cases}$

To Find :

• the rate of simple Interest

Solution :

$\underline {\frak{ \dag \green{ \: as \: we \:know}}}$

• ${\boxed{ \sf \pink{simple \: interest = \frac{rate \times time \times principal}{100} }}}$
• $\boxed{ \sf \pink{amount = principal + simple \: interest}}$

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________________________________________

$\tt \blue{According \: to \: the \: Question}$

First we have to find the Simple Interest

$\\ \sf : \implies A =P + S.I$

$\\ \sf : \implies7817.85 = 5791 + S.I$

$\\ \sf : \implies \: S.I = 7817.85 - 5791$

$\\ \sf : \implies \: S.I = 2026.85$

Therefore, Simple Interest = 2,026.85

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Now, we will find the rate of interest

$\\ \sf : \implies \: S.I = \frac{P \times T \times R }{100}$

$\\ \sf : \implies2026.85 = \frac{5791 \times 5 \times \: R}{100}$

$\\ \sf : \implies \: R = \frac{2026.85 \times 100}{5791 \times 5}$

$\\ \sf : \implies \: R = \frac{202685}{28955}$

$\\ \sf : \implies \: \boxed{\frak \green{R = 7}}$

Therefore, the rate of simple Interest is 7%

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Answer 2

Answer:

Rate of interest = 7%

ㅤ

Step-by-step explanation:

Given :

$\sf where \begin{cases} & \sf{principal = 5791} \\ \\ & \sf{amount = 7817.85} \\ \\& \sf{time = 5 \: years} \end{cases}$

To Find :

the rate of simple Interest

Solution :

$\underline {\frak{ \dag \green{ \: as \: we \:know}}}$

${\boxed{ \sf \pink{simple \: interest = \frac{rate \times time \times principal}{100} }}}$

$\boxed{ \sf \pink{amount = principal + simple \: interest}}$

ㅤ

________________________________________

$\tt \blue{According \: to \: the \: Question}$

First we have to find the Simple Interest

$\\ \sf : \implies A =P + S.I$

$\\ \sf : \implies7817.85 = 5791 + S.I$

$\\ \sf : \implies \: S.I = 7817.85 - 5791$

$\\ \sf : \implies \: S.I = 2026.85$

Therefore, Simple Interest = 2,026.85

ㅤ

Now, we will find the rate of interest

$\\ \sf : \implies \: S.I = \frac{P \times T \times R }{100}$

$\\ \sf : \implies2026.85 = \frac{5791 \times 5 \times \: R}{100}$

$\\ \sf : \implies \: R = \frac{2026.85 \times 100}{5791 \times 5}$

$\\ \sf : \implies \: R = \frac{202685}{28955}$

$\\ \sf : \implies \: \boxed{\frak \green{R = 7}}$

Therefore, the rate of simple Interest is 7%

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