Math, asked by aaravshinde1326, 2 months ago

find the simple Intrest and amount if p=150 r=5% per annum and t=4years​

Answers

Answered by IntrovertLeo
10

Given:

  • Principal = Rs. 150
  • Rate = 5 %
  • Time = 4 years

What To Find:

We have to find the

  • Simple Interest
  • Amount

Formula Needed:

\bf 1. \: SI = \dfrac{P \times R \times T}{100}

\bf 2. \: A = P + SI

Abbreviation Used:

  • SI = Simple Interest
  • A = Amount
  • P = Principal
  • R = Rate
  • T = Time

Solution:

  • Finding the SI.

Using the formula,

\sf \implies SI = \dfrac{P \times R \times T}{100}

Substitute the values,

\sf \implies SI = \dfrac{150 \times 5 \times 4}{100}

Multiply 5 and 4,

\sf \implies SI = \dfrac{150 \times 20}{100}

Cancel the zeros,

\sf \implies SI = 15 \times 2

Multiply 15 and 2,

\sf \implies SI = Rs. \: 30

  • Finding the A.

Using the formula,

\sf \implies A = P + SI

Substitute the values,

\sf \implies A = 150 + 30

Add the values,

\sf \implies A = Rs. \: 180

Final Answer:

Therefore, the SI is Rs. 30 and A is Rs. 180.

Answered by TheAestheticBoy
13

Question :-

  • Find Simple Interest and Amount , if Principal is 150 , Rate is 5 % and Time is 4 years .

Answer :-

  • Simple Interest is Rs. 30
  • Amount is Rs. 180

 \rule {180pt} {2pt}

Given :-

  • Principal = Rs. 150
  • Rate of Interest = 5 %
  • Time Period = 4 years

To Find :-

  • Simple Interest = ?
  • Amount = ?

Solution :-

As per the provided information in the given question, we have been given that the Principal is Rs. 150 , Rate of Interest is given 5 % , Time Period is 4 years . And, we have been asked nto calculate the Simple Interest and Amount .

Formula Required :-

 \bigstar \: \: \: \boxed { \sf \pink { \: Simple \: Interest \: = \: \frac{P \times R \times T}{100} \: }}

 \bigstar \: \: \: \boxed{ \sf \pink { \: Amount \: = \: P \: + \: S.I \: }}

Where ,

  • P denotes to Principal
  • R denotes to Rate of Interest
  • T denotes to Time Period
  • S.I denotes to Simple Interest

Now, first we will find Simple Interest . By substituting the values in the First Formula :-

\dag \:  \: \sf { Simple \: Interest \: = \: \dfrac{P \times R \times T}{100}} \\

\longmapsto \:  \:  \sf{Simple \: lnterest \:  =  \:  \dfrac{150 \times 5 \times 4}{100} } \\

\longmapsto \:  \:  \sf{Simple \: lnterest \:  =  \:  \dfrac{15 \cancel{0} \times 5 \times 4}{10  \cancel{0}} } \\

\longmapsto \:  \:  \sf{Simple \: lnterest \:  =  \:  \dfrac{15 \times 5 \times 4}{10} } \\

\longmapsto \:  \:  \sf{Simple \: lnterest \:  =  \:  \dfrac{300}{10} } \\

\longmapsto \:  \:  \textbf{ \textsf{Simple \: lnterest \:  =  \: 30 }}

Now, here we will find Amount . By substituting the values in the Second Formula :-

\dag \: \: { \sf { \: Amount \: = \: P \: + \: S.I \: }}

\longmapsto \: \: \sf {Amount \: = \: 150\: +  \: 30}

\longmapsto \: \: \textbf{ \textsf {Amount = 180 }}

Hence :-

  • Simple Interest = Rs. 30
  • Amount = Rs. 180

 \rule {180pt} {4pt}

Learn More :-

 \bigstar \: \: \: \boxed {\sf { \: \: Principal \: = \: \dfrac {Simple \: Interest \: \times \: 100}{Rate \: \times \: Time \: \: }}}

 \bigstar \: \: \: \boxed {\sf { \: \: Rate \: = \: \dfrac {Simple \: Interest \: \times \: 100}{Principal \: \times \: Time \: \: }}}

 \bigstar \: \: \: \boxed {\sf { \: \: Time \: = \: \dfrac {Simple \: Interest \: \times \: 100}{Principal \: \times \: Rate \: \: }}}

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