Question : A line of length 1.5 metres was mistakenly measured as 1.55 metres. What is the percentage error in the measurement?
Option 1: $0.05$%
Option 2: $3\frac{7}{31}$%
Option 3: $3\frac{1}{3}$%
Option 4: $0.5$%
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Correct Answer: $3\frac{1}{3}$%
Solution :
Given: A line of length 1.5 metres was measured as 1.55 metres by mistake.
Wrong Number = 1.55 metres
Actual Number = 1.5 metres
Error percentage = $\frac{\text{Wrong number – Actual number}}{\text{Actual number}}$ × 100
= $\frac{1.55-1.5}{1.5}$ × 100
= $\frac{0.05}{1.5}$ × 100
= $\frac{5}{1.5}$%
= $3\frac{1}{3}$%
Hence, the correct answer is $3\frac{1}{3}$%.
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