A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result…

A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?
  1. 25%
  2. 50%
  3. 72.75%
  4. 93.75%

Solution

Let the number be 100. Correct result = $4 \times 100 = 400$. Mistaken result = $100/4 = 25$. Percentage change = $\dfrac{400 - 25}{400} \times 100 = \dfrac{375}{400} \times 100 = 93.75\%$.

Asked in: CSAT 2024

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