Match List I with List II
| LIST I | LIST II | ||
| A. | Laspeyres’ Index Number | I. | \(P_{01}=\sqrt{\displaystyle\frac{\sum p_1q_0}{\sum p_0q_0}\times\frac{\sum p_1q_1}{\sum p_0q_1}}\times 100\) |
| B. | Paasche’s Index Number | II. | \(P_{01}=\displaystyle\frac{\sum p_1(q_0+q_1)}{\sum p_0(q_0+q_1)}\times 100\) |
| C. | Fisher’s Ideal Index Number | III. | \(P_{01}=\displaystyle\frac{\sum p_1q_1}{\sum p_0q_1}\times 100\) |
| D. | Marshall-Edgeworth’s Index Number | IV. | \(P_{01}=\displaystyle\frac{\sum p_1q_0}{\sum p_0q_0}\times 100\) |
Choose the correct answer from the options given below :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → A-IV, B-III, C-I, D-II
(A) Laspeyres’ Index Number
This matches (IV). Laspeyres’ index uses the base-year quantities \(q_0\) as weights:
\( \displaystyle P_{01} = \frac{\sum p_1q_0}{\sum p_0q_0}\times 100 \)
(B) Paasche’s Index Number
This matches (III). Paasche’s index uses the current-year quantities \(q_1\) as weights:
\( \displaystyle P_{01} = \frac{\sum p_1q_1}{\sum p_0q_1}\times 100 \)
(C) Fisher’s Ideal Index Number
This matches (I). Fisher’s index is the geometric mean of the Laspeyres and Paasche indices:
\( \displaystyle P_{01} = \sqrt{\frac{\sum p_1q_0}{\sum p_0q_0}\times\frac{\sum p_1q_1}{\sum p_0q_1}}\times 100 \)
(D) Marshall-Edgeworth’s Index Number
This matches (II). It uses the sum of the quantities of both years, \(q_0 + q_1\), as weights:
\( \displaystyle P_{01} = \frac{\sum p_1(q_0+q_1)}{\sum p_0(q_0+q_1)}\times 100 \)
Note: This topic was not in the CUET 2026 syllabus.