To determine the percentage increase in prices between the base year and the current year given the Consumer Price Index (CPI) values, follow these steps:
1. Understand the CPI values:
- The CPI in the base year is 100.
- The CPI in the current year is 150.
2. Determine the increase in CPI:
- Subtract the CPI of the base year from the CPI of the current year.
- [tex]\( 150 - 100 = 50 \)[/tex].
3. Calculate the percentage increase:
- Divide the increase in CPI by the CPI of the base year.
- [tex]\( \frac{50}{100} = 0.5 \)[/tex].
4. Convert the result to a percentage:
- Multiply the result by 100 to convert it to a percentage.
- [tex]\( 0.5 \times 100 = 50\% \)[/tex].
So, the prices rose by 50 percent between these two years. Therefore, the correct answer is:
- 50 percent
