a bank gives you a simple interest loan at a rate of 8.5%. After 5 years you have paid the entire principal plus 101.58 interest. what was the original principal amount of your loan

Respuesta :

Answer:

The principal amount on which the bank gives loan is $ 239.0117

Step-by-step explanation:

Given as :

The rate of interest = 8.5 % at simple interest

The time period of the loan = 5 years

The interest amount = $ 101.58

Let The principal amount = $ p

From simple interest method

Simple interest = [tex]\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}[/tex]

Or, $ 101.58 = [tex]\dfrac{\textrm $ p\times \textrm 8.5\times \textrm 5}{100}[/tex]

Or, $ 101.58 × 100 = 42.5 × p

Or, $ 10158 = 42.5 × p

∴ p =[tex]\frac{10158}{42.5}[/tex]

I.e p = $ 239.0117

So, The principal amount =  p = $ 239.0117

Hence The principal amount on which the bank gives loan is $ 239.0117 Answer