A student multiplied a number by \(\frac{5}{6}\) instead of \(\frac{6}{5}\). What is the percentage
error in the calculation?
Answer: B
The number be 30
When the student multiplied it by \(\frac{5}{6}\), ⇒ original result \(= \frac{5}{6} \times 30 = 25\)
When the student multiply it by \(\frac{6}{5}\), ⇒ New result \(= \frac{6}{5} \times 30 = 36\)
⇒ Percentage error in calculation \(= \frac{(36-25)}{36} \times 100 \)
\(\Rightarrow \frac{1100}{36} = 30.56\)