Simple Interest Calculation Quiz

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Questions and Answers

What is the formula for calculating simple interest?

  • Principal + Rate + Time
  • Principal × Rate + Time
  • Rate / Time
  • Principal × Rate × Time (correct)

Simple interest increases with time.

True (A)

If a principal amount of $1,000 is loaned at a rate of 5% for 3 years, what is the simple interest earned?

$150

In simple interest, the interest amount is calculated on the ________ amount.

<p>principal</p> Signup and view all the answers

Match the following terms related to simple interest with their definitions:

<p>Principal = The amount of money borrowed or invested Rate = The percentage of interest charged or earned Time = The duration for which the money is borrowed or invested Interest = The cost of borrowing money or the benefit of investing money</p> Signup and view all the answers

Flashcards

Simple Interest

Interest calculated only on the principal amount.

Principal

The initial amount of money.

Interest Rate

Percentage of the principal paid each period.

Interest

Amount paid over time

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Simple Interest Formula

Interest = principal × rate × time

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Study Notes

Definition

  • Simple interest is a method of calculating interest on a principal amount, where the interest earned is not added to the principal to determine the interest for subsequent periods.
  • It is calculated only on the initial principal amount.
  • The interest earned remains constant over the entire investment period.

Formula

  • The formula for simple interest is: Simple Interest = (Principal × Rate × Time) / 100
  • Where:
    • Principal (P) is the initial amount of money.
    • Rate (R) is the interest rate per year (expressed as a percentage).
    • Time (T) is the duration of the investment in years.

Calculation Example

  • Suppose you invest $1000 at a simple interest rate of 5% for 2 years.
  • Simple Interest = (1000 × 5 × 2) / 100 = $100
  • The total amount at the end of 2 years would be $1000 + $100 = $1100

Key Characteristics

  • Simple interest is straightforward to calculate.
  • It is a relatively low-return investment.
  • It is easier to understand than compound interest.
  • The total interest earned is fixed over the loan or investment period.
  • Interest is calculated only on the principal amount borrowed or invested.

Applications

  • Simple interest is frequently used in:
    • Short-term loans
    • Simple savings accounts
    • Certificates of deposit for short maturities
    • Some educational loans
    • Payroll calculations for short-term advances/payments

Differences from Compound Interest

  • In compound interest, the interest earned in each period is added to the principal, and interest is calculated on this new, larger principal amount.
  • Simple interest calculates interest only on the initial principal.
  • Compound interest typically yields a higher return than simple interest in the long term.

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