Split Fund Interest with Principal of 4300 and Fund 1 = 6 % and Fund 2 = 9% and Interest Paid = 315

Principal =
Fund 1 Interest = %
Fund 2 Interest = %
Total Interest paid =
  

An investment of 4300 was made one year ago.

Part of the investment was placed into an account paying s interest at 6 %

The remainder of the investment was placed into an account paying s interest at 9%

After one year, you received a total of 315 in interest. How much was invested in each account?

Calculate Principal Amounts for each fund:

For Fund 1, we invest an unknown amount, let us call it x

For Fund 2, the remaining principal is 4300 - x

Calculate Interest Credit for Fund 1

Since Fund 1 credits interest using the simple interest method, we have 0.06x

Calculate Interest Credit for Fund 2

Since Fund 2 credits interest using the simple interest method, we have 0.09(4300 - x)

Set up a grid with fund details:

  Interest PaidPrincipalInterest Rate
Fund 10.06xx6 %
Fund 20.09(4300 - x)(4300 - x)9%
Total3154300--

Calculate x from the grid:

Since both Interest paid columns add up to the total interest earned of 315, we set up an equation

0.06x + 0.09(4300 - x) = 315

0.06x + 387 - 0.09x = 315

387 - 0.03x = 315

Subtract 387 from each side:

387 - 387 - 0.03x = 315 - 387

Cancelling the 387 on the left side, we get:

-0.03x = -72

Divide each side by -0.03

-0.03x
-0.03
=
  
-72
-0.03

Cancelling the -0.03 on the left side, we get:

x = 2400 ← Fund 1 Investment

This means we should 4300 - 2400 = 1900 into Fund 2

Final Answer

2400 into Fund 1
1900 into Fund 2





What is the Answer?
2400 into Fund 1
1900 into Fund 2
How does the Split Fund Interest Calculator work?
Free Split Fund Interest Calculator - Given an initial principal amount, interest rate on Fund 1, interest rate on Fund 2, and a total interest paid, calculates the amount invested in each fund.
This calculator has 4 inputs.

What 3 formulas are used for the Split Fund Interest Calculator?

Fund 1 investment is x
Fund 2 investment is T - x
Interest paid = Interest Rate * Investment

For more math formulas, check out our Formula Dossier

What 3 concepts are covered in the Split Fund Interest Calculator?

interest
payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate
principal
The amount borrowed on a loan, before interest is charged
split fund interest
Example calculations for the Split Fund Interest Calculator

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