Question

a man borrowed money Rs. 35800 on simple interest at the rate of 8% p.a. for 3 years. What is the amount to be returned by him after 3 years? *

Answer 1

☯GIVEN :

• Principal (P) = Rs 35800

• Rate (R) = 8%

• Time (T) = 3 years

☯TO FIND :

• Amount (A).

☯ FORMULAE REQUIRED :

• $\bigstar{\underline{ \boxed{ \blue{ \bf{SI = \dfrac{P \times R \times T}{100} }}}}}$

• $\bigstar{\underline{ \boxed{ \purple{ \bf{A = P+SI }}}}}$

➲SOLUTION :

★Substituting the given values in the first formula :

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

$: \implies \sf{SI = \dfrac{\cancel{35800} \times 8 \times 3}{ \cancel{100}}}$

$: \implies \sf{SI = 358 \times 8 \times 3}$

$: \implies \underline{ \boxed{ \bf{SI = Rs\:8592}}}$

★ Substituting the given values in the second formula :

$: \implies \sf{A =P+SI }$

$: \implies \sf{A =35800 + 8592 }$

$\to\underline{ \boxed {\huge {\pink{\bf{A = Rs\:44392}}}}}$

$\huge{\red{\therefore}}$ Amount is Rs 44392.

Answer 2

★ Required answer:-

                     

• The amount to be returned by him after 3 years is Rs. 44392.

                     

★ Given:-    

                    

• Principle = Rs. 35800
• Rate = 8%
• Time = 3 years

                           

★ To find:-      

                   

• Amount to be returned by him after 3 years

                     

★ Solution:-    

                        

~Simple interest

                          

$\qquad\sf{:\implies\:Simple\:interest\:=\:\left\{\:\dfrac{P\:\times\:R\:\times\:T}{100}\:\right\}\:}$

                     

$\qquad\sf{:\implies\:Simple\:interest\:=\:\left\{\:\dfrac{35800\:\times\:8\:\times\:3}{100}\:\right\}\:}$

                           

$\qquad\sf{:\implies\:Simple\:interest\:=\:\left\{\:\dfrac{35800\:\times\:24}{100}\:\right\}\:}$

                        

$\qquad\sf{:\implies\:Simple\:interest\:=\:\left\{\:\dfrac{859200}{100}\:\right\}\:}$

                        

$\qquad\sf{:\implies\:Simple\:interest\:=\:\left\{\:\dfrac{8592}{1}\:\right\}\:}$

                     

$\qquad\sf{:\implies\:Simple\:interest\:=\:8592\:}$

                                                              

Hence the simple interest is 8592

                     

$\qquad\qquad\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$

                            

~Amount to be returned by him after 3 years.

                             

$\qquad\sf{:\implies\:Amount\:=\:Principle\:+\:Simple\:interest}$

                             

$\qquad\sf{:\implies\:Amount\:=\:35800\:+\:8592}$

                              

$\qquad\sf{:\implies\:Amount\:=\:Rs.\:44392}$

                                                               

Hence the amount to be returned by him after 3 years is Rs. 44392.

                                                               

$\qquad\qquad\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad}$