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 :
Answer & explanation
Correct answer: option 3
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 = $\frac{L+P}{2}=\frac{160+200}{2}=180$