If a student multiplied a number by $$\tfrac{3}{4}$$​ instead of $$\tfrac{4}{3}$$​, then find the percentage of error in that calculation (approximate).

Correct option is B

Given:

Correct multiplier =$$\frac{4}{3}$$​​

Incorrect multiplier = $$\frac{3}{4}$$​​

Formula Used:

The percentage error is calculated using:

​$$\text{Percentage Error} = \left( \frac{|\text{Correct Value} - \text{Incorrect Value}|}{\text{Correct Value}} \right) \times 100$$​​

Solution:

​$$\text{Percentage Error} = \left( \frac{\left| \frac{4}{3} - \frac{3}{4} \right|}{\frac{4}{3}} \right) \times 100$$​​

​$$\text{Percentage Error} = \left( \frac{7}{12} \times \frac{3}{4} \right) \times 100$$​​

= $$\left( \frac{7}{16} \right) \times 100≈44\%$$

Option (B) is right.