Question : A number is increased by 30% and then the increased number is decreased by 30%. The net increase or decrease is:
Option 1: 12% increase
Option 2: 9% decrease
Option 3: 15% decrease
Option 4: 30% increase
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Correct Answer: 9% decrease
Solution : Let the number be 100. ⇒ Number after 30% increase = 100 + 30% of 100 = 130 ⇒ Number after 30% decrease = 130 – 30% of 130 = 91 So, overall change in the number = 100 – 91 = 9 $\therefore$ Decrease percentage = $\frac{9}{100}$ × 100 = 9% Hence, the correct answer is a 9% decrease.
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Question : A number is increased by 20% and then the increased number is decreased by 20%. The net increase or decrease is:
Option 1: Decrease 2%
Option 2: Increase 4%
Option 3: Increase 2%
Option 4: Decrease 4%
Question : A number is increased by 5% and then the increased number is decreased by 5%. What is the net increase or decrease per cent?
Option 1: 0.25% decrease
Option 2: 0.75% increase
Option 3: 1% increase
Option 4: 0.50% decrease
Question : If the price of a washing machine is first increased by 25% and then decreased by 25%, then the net change in price will be a _____.
Option 1: 6.5% increase
Option 2: 6.5% decrease
Option 3: 6.25% decrease
Option 4: 6.25% increase
Question : If the price of a book first increased by 18% and then decreased by 18%. What is the net change in the price of the book?
Option 1: 18% increase
Option 2: 3.24% decrease
Option 3: No change
Option 4: 18% decrease
Question : If the length of a rectangle is decreased by 13% and the breadth is increased by 13%, find the change of percentage in its area.
Option 1: 1.69% decrease
Option 2: 1.69% increase
Option 4: 13% decrease
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