Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Match List – I with List – II.

LIST I

LIST II

 A. Index number for the base year

 I. Paasche's index number 

 B. $P_{01}=\frac{\sum p_1 q_0}{\sum p_0 q_0} \times 100$ 

 II. 100 

 C. $P_{01}=\frac{\sum p_1 q_1}{\sum p_0 q_1} \times 100$ 

 III. Fisher's Ideal Index Number 

 D. $P_{01}=\sqrt{\frac{\sum p_1 q_0}{\sum p_0 q_0} \times \frac{\sum p_1 q_1}{\sum p_0 q_1}} \times 100$ 

 IV. Laspeyre's index number 

Choose the correct answer from the options given below:

Options:

A-II, B-I, C-III, D-IV

A-II, B-IV, C-I, D-III

A-II, B-III, C-IV, D-I

A-I, B-II, C-III, D-IV

Correct Answer:

A-II, B-IV, C-I, D-III

Explanation:

The correct answer is Option (2) → A-II, B-IV, C-I, D-III

$\text{A: Index number for base year} = 100$

$\Rightarrow \text{A matches II}$

$\text{B: } P_{01} = \frac{\sum p_1 q_0}{\sum p_0 q_0} \times 100 \;\Rightarrow\; \text{Laspeyres index}$

$\Rightarrow \text{B matches IV}$

$\text{C: } P_{01} = \frac{\sum p_1 q_1}{\sum p_0 q_1} \times 100 \;\Rightarrow\; \text{Paasche index}$

$\Rightarrow \text{C matches I}$

$\text{D: } P_{01} = \sqrt{\frac{\sum p_1 q_0}{\sum p_0 q_0} \times \frac{\sum p_1 q_1}{\sum p_0 q_1}} \times 100 \;\Rightarrow\; \text{Fisher index}$

$\Rightarrow \text{D matches III}$

A–II,\; B–IV,\; C–I,\; D–III