Question : When the price of an item was reduced by 20%, its sales increased by $x$%. If there is an increase of 25% in receipt of the revenue, then the value of $x$ is:
Option 1: 55.35
Option 2: 57.75
Option 3: 54.35
Option 4: 56.25
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Correct Answer: 56.25
Solution : Effective change = $x+y+\frac{xy}{100}$ The increase takes the positive percentage values and the decreases take the negative percentage values of $x$ and $y$. ⇒ $x-20-\frac{20x}{100} = 25$ ⇒ $x-\frac{x}{5} = 45$ ⇒ $\frac{4x}{5} = 45$ ⇒ $x = \frac{45×5}{4}= \frac{225}{4}=56.25$% Hence, the correct answer is 56.25.
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Question : The price of an article is cut by 36%. To restore it to its original value, the new price must be increased by _____.
Option 1: 56.25%
Option 2: 36%
Option 3: 26.47%
Option 4: 45%
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 : The price of an article is cut by 42%. To restore to its original value, the new price must be increased by:
Option 1: 42%
Option 2: 72.41%
Option 3: 29.58%
Option 4: 52.5%
Question : An article is marked 25% above its cost price. If $x$% discount is allowed on the marked price and still there is a profit of 5.5%, then what is the value of $x$?
Option 1: 16.4
Option 2: 15.4
Option 3: 13.6
Option 4: 15.6
Question : In 2001, the price of a building was 80% of its original price. In 2002, the price was 60% of its original price. By what percentage did the price decrease?
Option 1: 15%
Option 2: 20%
Option 3: 25%
Option 4: 30%
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