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A student multiplied a number with $$\frac{3}{4}$$ instead of $$\frac{4}{3}.$$ What is the error percentage?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& \frac{3}{4},\,\frac{4}{3} \cr
& {\text{LCM of 4, 3}} = 12 \cr
& {\text{First number}} \cr
& = \frac{3}{4} \times 12 = 9 \cr
& {\text{Second number}} \cr
& = \frac{4}{3} \times 12 = 16 \cr
& {\text{Error percentage}} \cr
& = \frac{7}{{16}} \times 100 = 43\frac{3}{4}\% = 43.75\% \cr} $$
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