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A's salary was decreased by 50% and subsequently increased by 50%. How much percent does he lose?
  • a)
    25%
  • b)
    30%
  • c)
    20%
  • d)
    No loss
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A's salary was decreased by 50% and subsequently increased by 50%. Ho...
Explanation:
To solve this problem, let's assume A's salary to be 100 units for simplicity.

Step 1: A's salary was decreased by 50%
When A's salary is decreased by 50%, it becomes 100 - (50% of 100) = 100 - 50 = 50 units.

Step 2: A's salary was subsequently increased by 50%
When A's salary is increased by 50%, it becomes 50 + (50% of 50) = 50 + 25 = 75 units.

Step 3: Calculate the percentage loss
To calculate the percentage loss, we can use the formula:
Percentage loss = ((Initial value - Final value) / Initial value) * 100

In this case, the initial value is 100 units and the final value is 75 units.
Percentage loss = ((100 - 75) / 100) * 100 = (25 / 100) * 100 = 25%

Therefore, A loses 25% of his salary.

Conclusion:
The correct answer is option A, which states that A loses 25% of his salary.
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Community Answer
A's salary was decreased by 50% and subsequently increased by 50%. Ho...
Let A's salary in starting is = 100
Now, after decreased by 50% A's salary become = 50
Again 50% of salary increase i.e. 50% of 50 = 25
Current salary is = 50 + 25 = 75
Actual decrease in salary of A = 100 - 75 = 25
Actual % lose = 25/100 × 100
= 25%
Hence, the correct option is (A).
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