Question : A number is increased by 5% and then the increased number is decreased by 5%. What is the net increase or decrease per cent?
Option 1: 0.25% decrease
Option 2: 0.75% increase
Option 3: 1% increase
Option 4: 0.50% decrease
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Correct Answer: 0.25% decrease
Solution : Let $x$ be the number. Increase = 5% Increased number = $x$ + 5% of $x$ = 105% of $x$ = $1.05x$ Decrease = 5% Final number = $1.05x$ – 5% of $1.05x$ = $0.95×1.05x$ = $0.9975x$ Net decrease = $\frac{x – 0.9975x}{x}$ × 100 = $0.25$% Hence, the correct answer is a 0.25% decrease.
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Question : A number is increased by 20% and then the increased number is decreased by 20%. The net increase or decrease is:
Option 1: Decrease 2%
Option 2: Increase 4%
Option 3: Increase 2%
Option 4: Decrease 4%
Question : A number is increased by 30% and then the increased number is decreased by 30%. The net increase or decrease is:
Option 1: 12% increase
Option 2: 9% decrease
Option 3: 15% decrease
Option 4: 30% increase
Question : If the price of a washing machine is first increased by 25% and then decreased by 25%, then the net change in price will be a _____.
Option 1: 6.5% increase
Option 2: 6.5% decrease
Option 3: 6.25% decrease
Option 4: 6.25% increase
Question : If the price of a book first increased by 18% and then decreased by 18%. What is the net change in the price of the book?
Option 1: 18% increase
Option 2: 3.24% decrease
Option 3: No change
Option 4: 18% decrease
Question : When the price of an article was increased by 5% its sale reduced by 10%. What was the net effect on the revenue?
Option 1: 5% increase
Option 2: 5.5% decrease
Option 3: 5.5% increase
Option 4: 5% decrease
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