Question : A number is first increased by 12% and then decreased by 12%. The change in number is:
Option 1: 1.44% increase
Option 2: 12% increase
Option 3: 12% decrease
Option 4: 1.44% decrease
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Correct Answer: 1.44% decrease
Solution : Let the number be 100. Increase = 12% of 100 = 12 Resultant = 100 + 12 = 112 Decrease = 12% of 112 = 13.44 Final number = 112 – 13.44 = 98.56 Difference = 100 – 98.56 = 1.44 Required percentage = $\frac{1.44}{100}$×100 = 1.44% Hence, the correct answer is a 1.44% decrease.
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