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
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Correct Answer: 4% decrease
Solution : Given: Water tax is increased by 20% but its consumption is decreased by 20% For $a$% increase and $b$% decrease, the equivalent change is = $(a - b - \frac{a×b}{100})$% So, the equivalent change in expenditure = (20 – 20 – $\frac{20×20}{100}$)% = –$\frac{400}{100}$% = – 4% The negative sign implies that expenditure decreased by 4%. Hence, the correct answer is a 4% decrease.
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Question : The ratio between monthly income and expenditure of Vaidic is 8 : 5. If his income increases by 20% and his expenditure increases by 30%, then find the percentage increase or decrease in his monthly savings.
Option 1: $5 \frac{2}{3}$% increase
Option 2: $5 \frac{2}{3}$% decrease
Option 3: $3 \frac{1}{3}$% increase
Option 4: $3 \frac{1}{3}$% decrease
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
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 : 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
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