WAEC WAEC Nigeria General Mathematics

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(Percentages)

Hire Purchase and Percentage Errors

Hire Purchase and Percentage Errors

Understanding Hire Purchase

Hire purchase is a method of buying goods through making installment payments over time. The buyer gains use of the item immediately but only owns it after the final payment.

  • Initial Deposit: A down payment made at the start.
  • Installments: Regular payments made over a period.
  • Total Cost: Sum of the deposit and all installment payments.

Calculating Hire Purchase

To calculate the total hire purchase cost:

  • Identify the initial deposit.
  • Calculate the total of all installment payments.
  • Add the deposit to the total installment payments.

Worked Example

A television costs $500 on hire purchase. The deposit is $100, and the rest is paid in 12 monthly installments of $35 each. Calculate the total hire purchase cost.

Understanding Percentage Errors

Percentage error measures how inaccurate a measurement is, compared to the true value. It is useful in assessing the precision of calculations or measurements.

Formula for Percentage Error

The formula for calculating percentage error is:

Percentage Error=(Approximate ValueExact ValueExact Value)×100%\text{Percentage Error} = \left( \frac{\text{Approximate Value} - \text{Exact Value}}{\text{Exact Value}} \right) \times 100\%

Worked Example

An experiment measures the length of a rod as 20.5 cm, but the actual length is 20 cm. Calculate the percentage error.

Tuity Tip

Hover me!

Tuity Tip: Always express percentage errors as positive values, even if the approximate value is less than the exact value.

Check Your Work: Double-check calculations to ensure accuracy, especially in exams.

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