CA Foundation · Quantitative Aptitude · Index Numbers
An index number in year 2023 is 145 with base year 2020. In year 2024, the index becomes 160. What is the rate of change in the index from 2023 to 2024?
The index increased by 10.34% from 2023 to 2024. This is calculated as the difference (15 points) divided by the base index (145) and expressed as a percentage.
- A10.34%Correct
- B13.79%
- C15.00%
- D10.69%
Explanation
Rate of change = [(New index - Old index) / Old index] × 100 = [(160 - 145) / 145] × 100 = (15/145) × 100 = 10.34%. Option B (13.79%) uses 145 as denominator incorrectly; option D uses 145/160 instead.
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