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A number is increased by 10% and then decreased by 10%. What is the net increase or decrease percent?
- a)1% decrease
- b)2% decrease
- c)2% increase
- d)1% increase
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A number is increased by 10% and then decreased by 10%. What is the ne...
Let the number be 100.
After 10% increase, number = 100 + 10 = 110 Decrease 10% 110 – 10% of 110 = 110 – 11 = 99
Net decrease = 100 – 99 = 1%
After 10% increase, number = 100 + 10 = 110 Decrease 10% 110 – 10% of 110 = 110 – 11 = 99
Net decrease = 100 – 99 = 1%
Most Upvoted Answer
A number is increased by 10% and then decreased by 10%. What is the ne...
Increase and Decrease by 10%
To solve this problem, let's consider a number and follow the given instructions step by step.
Let's assume the number is 100.
1. Increase by 10%:
When we increase 100 by 10%, it becomes 100 + (10/100) * 100 = 100 + 10 = 110.
2. Decrease by 10%:
Now, we need to decrease 110 by 10%. To do this, we calculate (10/100) * 110 = 11.
Therefore, the final result after the decrease is 110 - 11 = 99.
Finding the Net Increase or Decrease Percent
To find the net increase or decrease percentage, we need to compare the final result to the original number and calculate the difference.
Original number = 100
Final result = 99
1. Calculate the difference:
Difference = Final result - Original number = 99 - 100 = -1
2. Calculate the net percentage change:
Net percentage change = (Difference / Original number) * 100
Net percentage change = (-1 / 100) * 100
Net percentage change = -1%
Interpreting the Result
The net increase or decrease percent is -1%. Since the result is negative, it indicates a decrease. Therefore, option A, which states a 1% decrease, is the correct answer.
Key Points:
- Assume the number is 100.
- Increase by 10%: 100 + (10/100) * 100 = 110
- Decrease by 10%: (10/100) * 110 = 11, 110 - 11 = 99
- Difference: 99 - 100 = -1
- Net percentage change: (-1 / 100) * 100 = -1%
- The correct answer is option A, a 1% decrease.
To solve this problem, let's consider a number and follow the given instructions step by step.
Let's assume the number is 100.
1. Increase by 10%:
When we increase 100 by 10%, it becomes 100 + (10/100) * 100 = 100 + 10 = 110.
2. Decrease by 10%:
Now, we need to decrease 110 by 10%. To do this, we calculate (10/100) * 110 = 11.
Therefore, the final result after the decrease is 110 - 11 = 99.
Finding the Net Increase or Decrease Percent
To find the net increase or decrease percentage, we need to compare the final result to the original number and calculate the difference.
Original number = 100
Final result = 99
1. Calculate the difference:
Difference = Final result - Original number = 99 - 100 = -1
2. Calculate the net percentage change:
Net percentage change = (Difference / Original number) * 100
Net percentage change = (-1 / 100) * 100
Net percentage change = -1%
Interpreting the Result
The net increase or decrease percent is -1%. Since the result is negative, it indicates a decrease. Therefore, option A, which states a 1% decrease, is the correct answer.
Key Points:
- Assume the number is 100.
- Increase by 10%: 100 + (10/100) * 100 = 110
- Decrease by 10%: (10/100) * 110 = 11, 110 - 11 = 99
- Difference: 99 - 100 = -1
- Net percentage change: (-1 / 100) * 100 = -1%
- The correct answer is option A, a 1% decrease.
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A number is increased by 10% and then decreased by 10%. What is the net increase or decrease percent?a)1% decreaseb)2% decreasec)2% increased)1% increaseCorrect answer is option 'A'. Can you explain this answer?
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