An investment of 10000 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 5%

After one year, you received a total of 800 in interest. How much was invested in each account?

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

For Fund 2, the remaining principal is 10000 - x

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

Since Fund 2 credits interest using the simple interest method, we have 0.05(10000 - x)

Interest Paid | Principal | Interest Rate | |

Fund 1 | 0.1x | x | 10% |

Fund 2 | 0.05(10000 - x) | (10000 - x) | 5% |

Total | 800 | 10000 | -- |

Since both Interest paid columns add up to the total interest earned of 800, we set up an equation

0.1x + 0.05(10000 - x) = 800

0.1x + 500 - 0.05x = 800

500 + 0.05x = 800

500 - 500 + 0.05x = 800 - 500

0.05x = 300

0.05x | |

0.05 |

= |

300 |

0.05 |

x = **6000** ← Fund 1 Investment

This means we should 10000 - 6000 = **4000** into Fund 2

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.

This calculator has 4 inputs.

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

Fund 2 investment is T - x

Interest paid = Interest Rate * Investment

For more math formulas, check out our Formula Dossier

- 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

- An investment of 10000 was made one year ago. Part of the investment was placed into an account paying s interest at 5% The remainder of the investment was placed into an account paying s interest at 10% After one year, you received a total of 800 in interest. How much was invested in each account?
- An investment of 20000 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 8% After one year, you received a total of 900 in interest. How much was invested in each account?

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