A student multiplied a number with $\frac{3}{4}$ instead of $\frac{4}{3}$. What is the error percentage ?
Answer & explanation
Correct answer: option 2
Let the number is = 12 ( LCM of 4 , 3 )
Number get by multiplying with wrong number = \(\frac{3}{4}\) × 12 = 9
Actual number to get = \(\frac{4}{3}\) × 12 = 16
Error percentage = \(\frac{16-7}{16}\) × 100
= \(\frac{9}{16}\) × 100
= 43.75%