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WAEC Mathematics 2024 Paper

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Question : 10

Total: 50

A trader gave a change of # 540.00 instead of # 570.00 to a customer. Caculate the percentage error.

5 $\frac{5}{19}$ %
5 $\frac{5}{9}$ %
5 $\frac{7}{19}$ %
5 $\frac{7}{9}$ %

Solution:

Concept:

Percentage error compares the mistake to the correct amount.

Explanation:

The correct change should have been

\#570.00

The trader gave

\#540.00

So, the error is:

\#570 - \#540 = \#30

Percentage error formula:

\text{Percentage error} = \frac{\text{Error}}{\text{Actual value}} \times 100\%

Here, the actual value is the correct change,

\#570

\text{Percentage error} = \frac{30}{570} \times 100\%

= \frac{100}{19}\% = 5\frac{5}{19}\%

Answer:

A.

5\frac{5}{19}\%

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