Percentage Change Calculation
To determine the net percentage change after successive percentage modifications, we can calculate the final value relative to an initial assumed value.
- Start with a base value, often 100 for simplicity in percentage calculations.
- Apply the first percentage change (decrease).
- Apply the second percentage change (increase) to the result of the first step.
- Calculate the overall difference from the original value and express it as a percentage.
Step-by-Step Calculation
Assume the original number is \(100\).
1. Calculate the Number After 18% Decrease
A decrease of 18% means the remaining value is \(100\% - 18\% = 82\%\) of the original.
Number after decrease = \(100 \times (1 - 0.18) = 100 \times 0.82 = 82\)
2. Calculate the Number After 22% Increase
The number 82 is then increased by 22%. An increase of 22% means the new value is \(100\% + 22\% = 122\%\) of the current value.
Final number = \(82 \times (1 + 0.22) = 82 \times 1.22 = 100.04\)
3. Determine the Net Change
The net change is the difference between the final number and the original number.
Net Change = Final Number - Original Number
Net Change = \(100.04 - 100 = 0.04\)
4. Calculate the Net Percentage Change
The net percentage change is the net change divided by the original number, multiplied by 100.
Net Percentage Change = \( \left( \frac{\text{Net Change}}{\text{Original Number}} \right) \times 100\% \)
Net Percentage Change = \( \left( \frac{0.04}{100} \right) \times 100\% = 0.04\% \)
Result
Since the net change (\(0.04\)) is positive, the result is a net increase. The net increase percentage, rounded to two decimal places, is \(0.04\%\).
Similar Questions
- If x% of 600 = 12% of 250 + 18% of 300, then the value of x is:
- 4% of a number is approximately what percentage of 18% of the same number?
- 15% of 60 is 45% of _______
Important Questions from Percentage
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?
What is 12% of 4% of 7% of 2 × 10 6 ?
Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?
If X is 12.25% more than Y. then Y is approximately_____ less than X.
