A student multiply a number by \(\frac{7}{4}\) instead of \(\frac{3}{5}\). Find the percentage of error in calculation.
Answer & explanation
Correct answer: option 1
Let a Number which is L.C.M. of 4 & 5
i.e. (20)
Now,
⇒ Wrong Answer = 20 × \(\frac{7}{4}\) = 35
⇒ Correct Answer = 20 × \(\frac{3}{5}\) = 12
⇒ Difference = 35 - 12 = 23
⇒ Error percentage = \(\frac{23}{12}\) × 100% = 191\(\frac{2}{3}\)%