give answer in 2 step with explanation at the end of each step and final answer at the end:The inflation rate last year was 4 percent and this year it is 7 percent. If the price level last year was 140, calculate the current price level and determine the change in purchasing power of money
Question:
give answer in 2 step with explanation at the end of each step and final answer at the end:The inflation rate last year was 4 percent and this year it is 7 percent. If the price level last year was 140, calculate the current price level and determine the change in purchasing power of money
This is AI generated Response.
Asked by: Rahul
Created at: 2025-12-16 03:22:50
Asked by: Rahul
Created at: 2025-12-16 03:22:50
Final Answer:
Rendered
Raw Text
Did you like this answer?
# Step 1: Calculate the Current Price Level
The inflation rate tells us how much prices increase over a period. Last year's price level was 140, and this year's inflation rate is 7%.
\[
\text{Current Price Level} = \text{Last Year's Price Level} \times (1 + \frac{\text{Inflation Rate}}{100})
\]
\[
= 140 \times (1 + .07) = 140 \times 1.07 = 149.8
\]
**Explanation:**
The price level increased by 7% from last year, so we multiply last year's price by 1.07 to find this year's price level.
---
# Step 2: Determine the Change in Purchasing Power of Money
Purchasing power is inversely related to the price level. To find the change:
\[
\text{Change in Purchasing Power} = \frac{\text{Last Year's Price Level}}{\text{Current Price Level}}
\]
\[
= \frac{140}{149.8} \approx .935
\]
To express this as a percent change:
\[
\text{Percent Change} = (.935 - 1) \times 100\% = -6.5\%
\]
**Explanation:**
Purchasing power has decreased because prices increased. The ratio shows that money now buys about 6.5% less than last year.
---
# Final Answers
- **Current Price Level:** $149.8$
- **Change in Purchasing Power:** Decreased by approximately $6.5\%$
📢 Instructions:
- Ask anything relatd to above question only.
- For new Question goto :
VIPSolutions