Percent Applications Math Example 2

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Example 2

medium
Emma borrows \2000atasimpleinterestrateof at a simple interest rate of 4.5\%peryearfor per year for 3$ years. How much total interest does she pay, and what is the total amount repaid?

Solution

  1. 1
    Use the simple interest formula: I=PrtI = Prt where P=2000P = 2000, r=0.045r = 0.045, t=3t = 3.
  2. 2
    Interest: I=2000ร—0.045ร—3=270I = 2000 \times 0.045 \times 3 = 270.
  3. 3
    Total repaid: A = P + I = 2000 + 270 = \2270$.

Answer

I=$270,A=$2270I = \$270,\quad A = \$2270
Simple interest is calculated on the principal only (not on accumulated interest). The formula I=PrtI = Prt keeps the interest proportional to the principal, the rate, and the time period.

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Using percentages to solve real-world problems involving tax, tip, discount, markup, and simple interest.

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