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Find the simple interest and the total amount after three years.
Principal = 7800 rupees
Annual rate of interest = 9.5%
Total interest =____rupees
Total amount =____rupees

Find the simple interest and the total amount after three years Principal 7800 rupees Annual rate of interest 95 Total interest rupees Total amount rupees class=

Respuesta :

TheAnimeGirl

Answer:

[tex] \boxed{ \sf{Total \:Interest = \underline{ 2223} \: rupees}}[/tex]

[tex] \boxed{ \sf{Total \: Amount = \underline{10023} \: rupees}} [/tex]

Step-by-step explanation:

♨ Given :

  • Principal ( P ) = 7800 rupees
  • Annual rate of interest ( R ) = 9.5 %
  • Time ( T ) = 3 years

♨ To find :

  • Total interest ( I ) = ?
  • Total amount ( A ) = ?

✎ Finding the total interest :

[tex] \boxed{ \sf{Simple \: interest \: ( \: I\: )\: = \frac{Principal \: ( \: P \: ) \: \times \: Time \: ( \: T \: ) \: \times \: Rate \: ( \: R \: )}{100}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{7800 \times 3 \times 9.5}{100}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{222300}{100}}} [/tex]

[tex] \longrightarrow{ \sf{2223 \: rupees}}[/tex]

The total interest = 2223 rupees.

✎ Finding the total Amount :

[tex] \boxed{ \sf{Amount \: (A) = Principal \: ( \: P \: ) \: + \: Interest \: ( \: I \: )}}[/tex]

[tex] \longrightarrow{ \sf{7800 \: rupees + 2223 \: rupees}}[/tex]

[tex] \longrightarrow{ \sf{10023 \: rupees}}[/tex]

The total amount = 10023 rupees.

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☞ Additional Info :

  • Principal : The money which is borrowed or deposited is called principal ( P ).
  • Interest : The additional amount of money which is paid by borrower to the lender is called Interest ( I ) .
  • Time : The duration of time for which principal is deposited or borrowed is termed as time period ( T ).
  • Rate : The condition under which the interest is charged is called rate ( R ).
  • Amount : The sum of principal and interest is called an amount ( A ).

✑ Important Formulaes :

  • [tex] \sf{Interest \: = \frac{Principal \times Time \times Rate}{100}} [/tex]

  • [tex] \sf{Principal = \frac{Interest \: \times \: 100}{Time \times Rate}} [/tex]

  • [tex] \sf{Time = \frac{Interest \: \times \: 100}{Principal \times Rate}} [/tex]

  • [tex] \sf{Rate = \frac{Interest \: \times \: 100}{Principal \times Time}} [/tex]

  • [tex] \sf{Amount = Principal + Interest}[/tex]

  • [tex] \sf{Principal = Amount - Interest}[/tex]

  • [tex] \sf{Interest = Amount - Principal}[/tex]

Hope I helped!

Have a wonderful time ツ

~TheAnimeGirl

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