Question

A number is mistakely divided by $5$ instead of being multiplied by $5$. Find the percentage change in the result due to this mistake.

• A. $96$ $\%$
• B. $95$ $\%$
• C. $2400$ $\%$
• D. $200$ $\%$
• E. None of these

Answer 1

The correct option is C $2400$ $\%$

Let the number is $100$
Then divided by $5=\frac{100}{5}=20$
Or multiply by $5=100\times 5=500$
Difference in both $=500-20=480$
Then percentage change in the result due to his mistake $=\frac{480\times 100}{20}=2400$ $\%$.