Taking 1.33 as an approximation to $$\frac{4}{3}$$, the percentage error is​

Correct option is A

Solution:

$$\text{True Value} = \frac{4}{3} = 1.\overline{3}, \quad \text{Approximate Value} = 1.33 \\[8pt]\text{Percentage Error} = \left| \frac{\text{True Value} - \text{Approximate Value}}{\text{True Value}} \right| \times 100 \\[8pt]= \left| \frac{1.3333\ldots - 1.33}{1.3333\ldots} \right| \times 100 \\[8pt]= \left| \frac{0.0033\ldots}{1.3333\ldots} \right| \times 100 \approx \frac{0.0033}{1.3333} \times 100 \\[8pt]\approx 0.002475 \times 100 = 0.2475\% \approx \boxed{0.25\%}$$

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