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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Correct Answer: 28%
Solution : Let the original number be 100. The number is reduced by 10%, ⇒ 100 – 10% of 100 = 100 – (0.1 × 100) = 100 – 10 = 90 The resulting number is again decreased by 20%, ⇒ 90 – 20% of 90 = 90 – (0.2 × 90) = 90 – 18 = 72 Thus, the final percentage of the decrease = $\frac{100 - 72}{100}$ × 100 = 28% Hence, the correct answer is 28%.
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Question : What will be the remainder when $27^{27}+27$ is divided by 28?
Option 1: 28
Option 2: 27
Option 3: 25
Option 4: 26
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 : 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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