Principal Amount of Simple Interest given Final Amount Calculator

✖Final Amount of Simple Interest is the total amount received or paid back, including the amount invested or borrowed initially, and Simple Interest on it for a given duration of time at a fixed rate.ⓘ Final Amount of Simple Interest [A_Annual]			+10% -10%
✖The Annual Rate of Simple Interest is the percent of the simple interest paid over the principal amount for the due period.ⓘ Annual Rate of Simple Interest [r_Annual]			+10% -10%
✖Time period of Simple Interest is the number of years for which the principal amount is invested/borrowed/lent at a fixed rate of interest.ⓘ Time Period of Simple Interest [t_Annual]			+10% -10%

✖Principal Amount of Simple Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time.ⓘ Principal Amount of Simple Interest given Final Amount [P_Annual]

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Formula

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Principal Amount of Simple Interest given Final Amount

Formula

`"P"_{"Annual"} = "A"_{"Annual"}/(1+("r"_{"Annual"}*"t"_{"Annual"})/100)`

Example

`"1000"="1200"/(1+("10"*"2Year")/100)`

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Principal Amount of Simple Interest given Final Amount Solution

STEP 0: Pre-Calculation Summary

Formula Used

Principal Amount of Simple Interest = Final Amount of Simple Interest/(1+(Annual Rate of Simple Interest*Time Period of Simple Interest)/100)
P_Annual = A_Annual/(1+(r_Annual*t_Annual)/100)
This formula uses 4 Variables

Variables Used

Principal Amount of Simple Interest - Principal Amount of Simple Interest is the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time.
Final Amount of Simple Interest - Final Amount of Simple Interest is the total amount received or paid back, including the amount invested or borrowed initially, and Simple Interest on it for a given duration of time at a fixed rate.
Annual Rate of Simple Interest - The Annual Rate of Simple Interest is the percent of the simple interest paid over the principal amount for the due period.
Time Period of Simple Interest - (Measured in Year) - Time period of Simple Interest is the number of years for which the principal amount is invested/borrowed/lent at a fixed rate of interest.

STEP 1: Convert Input(s) to Base Unit

Final Amount of Simple Interest: 1200 --> No Conversion Required
Annual Rate of Simple Interest: 10 --> No Conversion Required
Time Period of Simple Interest: 2 Year --> 2 Year No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_Annual = A_Annual/(1+(r_Annual*t_Annual)/100) --> 1200/(1+(10*2)/100)

Evaluating ... ...

P_Annual = 1000

STEP 3: Convert Result to Output's Unit

1000 --> No Conversion Required

FINAL ANSWER

1000 <-- Principal Amount of Simple Interest

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 2 Principal Amount of Simple Interest Calculators

Principal Amount of Simple Interest given Final Amount

Go Principal Amount of Simple Interest = Final Amount of Simple Interest/(1+(Annual Rate of Simple Interest*Time Period of Simple Interest)/100)

Principal Amount of Simple Interest

Go Principal Amount of Simple Interest = (100*Simple Interest)/(Annual Rate of Simple Interest*Time Period of Simple Interest)

Principal Amount of Simple Interest given Final Amount Formula

Principal Amount of Simple Interest = Final Amount of Simple Interest/(1+(Annual Rate of Simple Interest*Time Period of Simple Interest)/100)
P_Annual = A_Annual/(1+(r_Annual*t_Annual)/100)

What is Simple Interest ?

Simple Interest is a quick and easy method of calculating the interest charge on a loan. Simple Interest is the interest amount for a particular principal amount of money at some rate of interest for given duration of time. In Simple Interest, a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.

How to Calculate Principal Amount of Simple Interest given Final Amount?

Principal Amount of Simple Interest given Final Amount calculator uses Principal Amount of Simple Interest = Final Amount of Simple Interest/(1+(Annual Rate of Simple Interest*Time Period of Simple Interest)/100) to calculate the Principal Amount of Simple Interest, The Principal Amount of Simple Interest given Final Amount formula is defined as the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time, and is calculated using the final amount of Simple Interest. Principal Amount of Simple Interest is denoted by P_Annual symbol.

How to calculate Principal Amount of Simple Interest given Final Amount using this online calculator? To use this online calculator for Principal Amount of Simple Interest given Final Amount, enter Final Amount of Simple Interest (A_Annual), Annual Rate of Simple Interest (r_Annual) & Time Period of Simple Interest (t_Annual) and hit the calculate button. Here is how the Principal Amount of Simple Interest given Final Amount calculation can be explained with given input values -> 1000 = 1200/(1+(10*63113904)/100).

FAQ

What is Principal Amount of Simple Interest given Final Amount?

The Principal Amount of Simple Interest given Final Amount formula is defined as the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time, and is calculated using the final amount of Simple Interest and is represented as P_Annual = A_Annual/(1+(r_Annual*t_Annual)/100) or Principal Amount of Simple Interest = Final Amount of Simple Interest/(1+(Annual Rate of Simple Interest*Time Period of Simple Interest)/100). Final Amount of Simple Interest is the total amount received or paid back, including the amount invested or borrowed initially, and Simple Interest on it for a given duration of time at a fixed rate, The Annual Rate of Simple Interest is the percent of the simple interest paid over the principal amount for the due period & Time period of Simple Interest is the number of years for which the principal amount is invested/borrowed/lent at a fixed rate of interest.

How to calculate Principal Amount of Simple Interest given Final Amount?

The Principal Amount of Simple Interest given Final Amount formula is defined as the amount invested, borrowed, or lent initially at a fixed rate for a given duration of time, and is calculated using the final amount of Simple Interest is calculated using Principal Amount of Simple Interest = Final Amount of Simple Interest/(1+(Annual Rate of Simple Interest*Time Period of Simple Interest)/100). To calculate Principal Amount of Simple Interest given Final Amount, you need Final Amount of Simple Interest (A_Annual), Annual Rate of Simple Interest (r_Annual) & Time Period of Simple Interest (t_Annual). With our tool, you need to enter the respective value for Final Amount of Simple Interest, Annual Rate of Simple Interest & Time Period of Simple Interest and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Principal Amount of Simple Interest?

In this formula, Principal Amount of Simple Interest uses Final Amount of Simple Interest, Annual Rate of Simple Interest & Time Period of Simple Interest. We can use 1 other way(s) to calculate the same, which is/are as follows -

Principal Amount of Simple Interest = (100*Simple Interest)/(Annual Rate of Simple Interest*Time Period of Simple Interest)

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