l Split Fund Interest with Principal of 4000 and Fund 1 = 10% and Fund 2
Principal =
Fund 1 Interest = %
Fund 2 Interest = %
Total Interest paid =
  

Answer
3400 into Fund 1
600 into Fund 2

↓Steps Explained:↓



An investment of 4000 was made one year ago.

Part of the investment was placed into an account paying s interest at 10%

The remainder of the investment was placed into an account paying s interest at 15%

After one year, you received a total of 430 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 4000 - x

Calculate Interest Credit for Fund 1

Since Fund 1 credits interest using the simple interest method, we have 0.1x

Calculate Interest Credit for Fund 2

Since Fund 2 credits interest using the simple interest method, we have 0.15(4000 - x)

Set up a grid with fund details:

  Interest PaidPrincipalInterest Rate
Fund 10.1xx10%
Fund 20.15(4000 - x)(4000 - x)15%
Total4304000--

Calculate x from the grid:

Since both Interest paid columns add up to the total interest earned of 430, we set up an equation

0.1x + 0.15(4000 - x) = 430

0.1x + 600 - 0.15x = 430

600 - 0.05x = 430

Subtract 600 from each side:

600 - 600 - 0.05x = 430 - 600

Cancelling the 600 on the left side, we get:

-0.05x = -170

Divide each side by -0.05

-0.05x
-0.05
=
  
-170
-0.05

Cancelling the -0.05 on the left side, we get:

x = 3400 ← Fund 1 Investment

This means we should 4000 - 3400 = 600 into Fund 2

Final Answer

3400 into Fund 1
600 into Fund 2

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