a car originally costs $20,000. its price went up by 20% and then by another $8,000. how much did the price go up as a percentage of the original price?
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A Car Originally Costs $20,000 — Its Price Went Up by 20% and Then by
Another $8,000. How Much Did the Price Go Up as a Percentage of the Original Price?
Quick Scoop
Let’s break down this car price puzzle with some quick math and storytelling flair. Imagine you spotted a sleek sedan that originally cost $20,000. A few months later, the price jumped twice — first by a 20% increase , then by an extra flat $8,000. How much did that final price surge really add up to, percentage-wise, compared to the car’s original price?
Step-by-Step Breakdown
-
Initial Price:
The car originally costs $20,000. -
First Increase (20%):
20% of 20,000=0.20×20,000=4,00020%\text{ of }20,000=0.20\times 20,000=4,00020% of 20,000=0.20×20,000=4,000.
New price = 20,000+4,000=24,00020,000+4,000=24,00020,000+4,000=24,000. -
Second Increase ($8,000):
24,000+8,000=32,00024,000+8,000=32,00024,000+8,000=32,000. -
Total Increase:
32,000−20,000=12,00032,000-20,000=12,00032,000−20,000=12,000. -
Percentage Increase (Overall):
12,00020,000×100=60%\frac{12,000}{20,000}\times 100=60%20,00012,000×100=60%.
💡 Final Answer
The car’s price went up by 60% of the original price.
Summary Table
| Stage | Calculation | Result ($) |
|---|---|---|
| Original Price | – | 20,000 |
| After 20% Increase | 20,000 + (20% × 20,000) | 24,000 |
| After Additional $8,000 | 24,000 + 8,000 | 32,000 |
| Total Increase | 32,000 − 20,000 | 12,000 |
| Overall Percentage Increase | (12,000 ÷ 20,000) × 100 | 60% |
Forum Chat Viewpoint
User A: “Wait, 20% plus $8,000 doesn’t sound huge, but it actually ends up being a massive 60% jump? That’s wild!”
User B: “Yep! Always check percentages — a flat increase afterward can make a big difference.”
TL;DR:
A $20,000 car that first increased by 20% and then by $8,000 now costs $32,000
— a total price rise of 60% from the original. Bottom Note:
Information gathered from public forums or data available on the internet and
portrayed here.