Multiple choice

Raman's salary was decreased by $50\%$ and subsequently increased by $50\%$. How much percent does he lost?

  1. $20$
  2. $35$
  3. $25$
  4. $15$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the initial salary be 100. After 50% decrease, it becomes 50. After 50% increase on 50, it becomes 50 + 25 = 75. The net loss is 100 - 75 = 25%.

AI explanation

Using the successive percentage change formula of X + Y + (XY)/100, we substitute the values of -50 and +50. The calculation is -50 + 50 + (-50 * 50)/100, which equals 0 - 25, resulting in a net change of -25%. Therefore, Raman lost 25% of his original salary.

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