The price of a laptop increased by 15% and then decreased by 10%. What is the net percentage change in price? - High Altitude Science
The Price of a Laptop Increased by 15% Then Dropped 10% – What’s the Net Change?
The Price of a Laptop Increased by 15% Then Dropped 10% – What’s the Net Change?
In the ever-fluctuating tech market, consumers often encounter surprising price shifts—like when a laptop’s price rises by 15% only to then drop by 10%. This back-and-forth creates confusion: did the overall price go up, down, or stay the same? The answer lies in understanding how percentage changes compound. In this article, we break down the net percentage change when a laptop’s price increases by 15% followed by a 10% decrease.
Understanding the Context
The Sequence of Price Changes
Let’s suppose the original price of the laptop is $1,000 for easy calculation.
-
15% Price Increase
A 15% hike means the price goes up by:
$1,000 × 0.15 = $150
New price after increase:
$1,000 + $150 = $1,150 -
Then a 10% Price Decrease
Now apply a 10% drop to the new price of $1,150:
$1,150 × 0.10 = $115
New price after decrease:
$1,150 − $115 = $1,035
Key Insights
What Is the Net Effect?
Starting from $1,000 and ending at $1,035, the final price is ($1,035 − $1,000) ÷ $1,000 × 100 = 3.5% increase.
Thus, net result: +3.5% overall.
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Why the Net Change Isn’t Zero
Although one rise and one fall both use percentages, these are applied to different bases. The 15% increase is based on $1,000, but the 10% drop is based on the increased amount ($1,150). Because percentage reductions start from a higher value, the net effect is a small positive gain rather than a reversal.
This demonstrates a key finance principle: multiplicative changes compound differently than additive ones. A rise and fall of 15% and 10% respectively do not cancel out—only a net +3.5% occurs.
Real-World Implications
For buyers, this means:
- Even with a temporary price hike, strategic timing can result in net savings.
- Investors and retailers should focus on compound percentages, not just standalone changes.
- Transparent pricing disclosures help consumers see true value over time.
Summary Table
| Price Change Stage | Multiplier | New Price (from $1,000) | Difference from Original |
|--------------------|------------|-------------------------|--------------------------|
| +15% increase | 1.15 | $1,150 | +$150 |
| −10% decrease | 0.90 | $1,035 | +$35 |
| Net Result | – | $1,035 | +3.5% increase |
