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Question : If a number is increased by 25% and the resulting number is decreased by 25%, then the percentage increase or decrease finally is:

Option 1: no change

Option 2: decreased by $6\tfrac{1}{4}$%

Option 3: increased by $6\tfrac{1}{4}$%

Option 4: increased by $6$%


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: decreased by $6\tfrac{1}{4}$%


Solution : Given: A number is increased by 25%.
The resulting number is decreased by 25%.
Let the number be 100.
Increased by 25% = (100 + 25) = 125
125 is decreased by 25%, then it becomes = $125×\frac{75}{100}$ = $\frac{375}{4}$
So, the required decrease percentage $=(\frac{100-\frac{375}{4}}{100}) ×100$%
= $\frac{25}{4}$%
= $6\tfrac{1}{4}$%
Hence, the correct answer is 'decreased by $6\tfrac{1}{4}$%'.

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