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A trader borrows 600,000 at a simple interest rate of 15% per annum for 5 years. Calculate the interest and total amount he will pay.

Mathematics

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Answers

2 parts
a
450,000
b
1,050,000

Step-by-step solution

3 steps
  1. Identify the given values.

    The principal amount borrowed (PP) is 600,000.
    The annual interest rate (RR) is 15%, which is 0.15 in decimal form.
    The time period (TT) is 5 years.

  2. Calculate the interest for part a).

    The formula for simple interest (II) is:

    I=P×R×TI = P \times R \times T

    Substitute the values:

    I=600,000×0.15×5I = 600,000 \times 0.15 \times 5 I=90,000×5I = 90,000 \times 5 I=450,000I = 450,000

    The interest the trader must pay is 450,000.

  3. Calculate the total amount for part b).

    The total amount (AA) to be paid altogether is the principal plus the interest:

    A=P+IA = P + I

    Substitute the values:

    A=600,000+450,000A = 600,000 + 450,000 A=1,050,000A = 1,050,000

    The total amount the trader will pay altogether is 1,050,000.

    a) The interest he must pay after five years is:

    450,000\boxed{450,000}

    b) The total amount the trader will pay altogether is:

    1,050,000\boxed{1,050,000}
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