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%
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Correct Answer: Increase by 5%
Solution : Given: The length and breadth of a cuboid are increased by 20% and 25% and height is reduced by 30%. Let initial length be $l$, breadth be $b$ and height be $h$. Initial volume = $lbh$ After the length and breadth of a cuboid are increased by 20% and 25% and height is reduced by 30%, Final length = $1.2l$ Final breadth = $1.25b$ Final height = $0.7h$ Final volume = $1.2l×1.25b×0.7h$ = $1.05lbh$ Increase in volume = $\frac{1.05lbh-lbh}{lbh}×100$ = 5% Hence, the correct answer is 'increase by 5%'.
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Question : The length and breadth of a rectangle are increased by 8% and 5%, respectively. By how much percentage will the area of the rectangle increase?
Option 1: 13.4%
Option 2: 15.4%
Option 3: 12.4%
Option 4: 16.4%
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
Question : If the radius of a cylinder is increased by 25%, by how much percentage the height must be reduced, so that the volume of the cylinder remains the same.
Option 1: 36
Option 2: 56
Option 3: 64
Option 4: 46
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 radius and the height of the cone are each increased by 20%. Then the volume of the cone increases by:
Option 1: 20%
Option 2: 20.5%
Option 3: 62%
Option 4: 72.8%
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