Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Match List-I with List-II.

Given that $∑p_0q_0=150, ∑p_0q_1= 80, ∑p_1q_0= 240, ∑p_1q_1= 200.$

List-I List-II
A Laspeyre's index I 160
B Paasche's index II 200
C Fesher's index III 205
D Dorbish and Bowley's IV 250

Choose the correct answer from the options given below :

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (3) → A-I, B-IV, C-II, D-III

Laspeyre's Index, $L=\frac{∑p_0q_1}{∑p_0q_0}=\frac{80}{150}≃160$ (after multiplying by 100)

Paasche's Index, $L=\frac{∑p_1q_1}{∑p_0q_0}=\frac{200}{240}≃200$ (after multiplying by 100)

Fesher's index = $\sqrt{L×P}=\sqrt{160×200}≃179$

Dorbish index = $\frac{L+P}{2}=\frac{160+200}{2}=180$