Match List I with List II
| LIST I | LIST II | ||
| A. | Marshall Edgeworth’s Index Number | I. | \(\displaystyle\frac{\sum p_1 q_0}{\sum p_0 q_0} \times 100\) |
| B. | Laspeyre’s Index Number | II. | \(\sqrt{\displaystyle\frac{\sum p_1 q_0}{\sum p_0 q_0} \times \frac{\sum p_1 q_1}{\sum p_0 q_1}} \times 100\) |
| C. | Fisher’s Ideal Index Number | III. | \(\displaystyle\frac{\sum p_1 q_1}{\sum p_0 q_1} \times 100\) |
| D. | Paasche’s Index Number | IV. | \(\displaystyle\frac{\sum p_1 (q_0 + q_1)}{\sum p_0 (q_0 + q_1)} \times 100\) |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-IV, B-I, C-II, D-III
Here \(p_0, q_0\) are base-year prices and quantities, and \(p_1, q_1\) are current-year prices and quantities. The indices differ only in the quantities used as weights.
(A) Marshall Edgeworth’s Index Number
This matches (IV).
It weights the prices by the sum of base-year and current-year quantities, \(q_0 + q_1\).
(B) Laspeyre’s Index Number
This matches (I).
It uses the base-year quantities \(q_0\) as weights.
(C) Fisher’s Ideal Index Number
This matches (II).
It is the geometric mean of the Laspeyres and Paasche indices, hence the square root of their product.
(D) Paasche’s Index Number
This matches (III).
It uses the current-year quantities \(q_1\) as weights.
Note: This topic was not in the CUET 2026 syllabus.