SOLUTION: please help with equation for interest if a principle of 2000 at rate of 6% earns 300, how much will principle of 4000 earn at 8%?

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Question 1196148: please help with equation for interest
if a principle of 2000 at rate of 6% earns 300, how much will principle of 4000 earn at 8%?

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
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please help with equation for interest
if a principle of 2000 at rate of 6% earns 300, how much will principle of 4000 earn at 8%?
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In this post, the problem is formulated INCORRECTLY.
The correct formulation is as follows:


    +-----------------------------------------------------------------+
    |   If a principal of 2000 at simple annual interest rate of 6%   |
    |    earns 300 in some time interval, how much will a principal   |
    |          of 4000 earn at 8% simple annual interest rate         |
    |                 during the same time interval ?                 |
    +-----------------------------------------------------------------+


Solution

Use the formula for simple interest 

    I = P*r*t,    (1)

P is the principal, t is the time (in years), r is the annual simple interest rate,
I is the interest amount.


For the first scenario, we have

    300 = 2000*0.06*t.


From this equation, find time t =  = 2.5 years.


So, the time period is 2.5 years.


Apply the formula (1) AGAIN, this time for the second scenario

    I = 4000*0.08*2.5 = 800.


ANSWER.  The second interest amount is 800.

Solved and thoroughly explained.

--------------------

To see many other similar  (and different)  solved problems on simple interest accounts,  look into the lesson
    - Simple interest percentage problems
in this site.

Learn the subject from there.



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