Question : The price of a car is first increased by 35% and after that, the price is decreased by 25% due to a reduction in sales. What is the net percentage change in the final price of the car?
Option 1: Decreases by $2 \frac{1}{5}$%
Option 2: Increases by $2 \frac{1}{3}$%
Option 3: Decreases by $1 \frac{3}{5}$%
Option 4: Increases by $1 \frac{1}{4}$%
Correct Answer: Increases by $1 \frac{1}{4}$%
Solution : Let the initial price of the car be 100. After a 35% increase, the price becomes $(100×\frac{135}{100}) = 135$ After 25% decrease on the new price = $135 - \frac{25}{100}\times 135=135-\frac{135}{4}=\frac{405}{4}$ Percentage Change = $\frac{\text{Final Price – Initial Price}}{\text{Initial Price}} \times 100$ Substituting the values we have: $\therefore$ Percentage Change = $\frac{\frac{405}{4} -100}{100} \times 100 = 1 \frac{1}{4}$% Hence, the correct answer is Increases by $1 \frac{1}{4}$%.
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Question : The price of an article is first increased by 25% and later on, the price was decreased by 30% due to a reduction in sales. Find the net percentage change in the final price of the article.
Option 1: 11.5% increased
Option 2: 14% decreased
Option 3: 13% increased
Option 4: 12.5% decreased
Question : Directions: The price of an article has been reduced by 25%. To restore the original price, the new price must be increased by?
Option 1: $11\frac{1}{9}\%$
Option 2: $66\frac{2}{3}\%$
Option 3: $9\frac{1}{11}\%$
Option 4: $33\frac{1}{3}\%$
Question : The length of a rectangle is increased by 10% and breadth is decreased by 10%. The area of the new rectangle is:
Option 1: neither increased nor decreased.
Option 2: increased by 1%.
Option 3: decreased by 2%.
Option 4: decreased by 1%.
Question : The price of almonds is increased by 10%. By what percentage should the consumption be decreased so that the expenditure remains the same?
Option 1: $9 \frac{1}{11} \%$
Option 2: $5 \frac{3}{11} \%$
Option 3: $8 \frac{1}{11} \%$
Option 4: $10 \frac{3}{11} \%$
Question : The value of $2 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}+\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)$ is:
Option 1: $\frac{25}{24}$
Option 2: $\frac{29}{24}$
Option 3: $\frac{35}{24}$
Option 4: $\frac{5}{24}$
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