Question : The percentage change in a number when it is first decreased by 10% and then increased by 10% is:
Option 1: 0.1% increase
Option 2: 1% decrease
Option 3: 0.1% decrease
Option 4: No changes
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Correct Answer: 1% decrease
Solution : For successive percentage change use the following formula, Net percentage change = ($x+y+\frac{xy}{100}$)%, where $x$ and $y$ are percentage increases or decreases, if increases take positive and if decreases take negative. So, net percentage change = $- 10 + 10 + \frac{(-10) × (10)}{100}$ = $- 10 + 10 - 1$ = $- 1$% [negative sign implies a decrease in percentage] Hence, the correct answer is 1% decrease.
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Question : Water tax is increased by 20% but its consumption is decreased by 20%. Then, the increase or decrease in the expenditure of money is:
Option 1: 5% decrease
Option 2: 4% decrease
Option 3: No change
Option 4: 4% increase
Question : In the first month, the income of Mohan increased by 30%. In the second month, his income decreased by 30%. What will be the percentage increase or decrease in the income after two months?
Option 1: 15% increase
Option 2: 9% increase
Option 3: 15% decrease
Option 4: 9% decrease
Question : The cost of apples is increased by 20% and then decreased by 20%. What is the net percentage decrease?
Option 1: 4%
Option 2: 3%
Option 3: 5%
Option 4: 6%
Question : The length and breadth of a cuboid are increased by 20% and 25%, respectively, while its height is reduced by 30%. What must be the total percentage increase/decrease in the volume of the cuboid?
Option 1: Increase by 5%
Option 2: Increase by 3%
Option 3: Decrease by 2%
Option 4: Decrease by 4%
Question : A number is reduced by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease?
Option 1: 25%
Option 2: 26%
Option 3: 27%
Option 4: 28%
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