Target Exam

CUET

Subject

Section B2

Chapter

Index Numbers and Time Based Data

Question:

Find the consumer price index number for 2011 on the base of 2010 from the following data. Using the method of weighted relatives.

Item Quantity Price in 2010 (₹) Price in 2011 (₹)
A 20 units 200 320
B 14 units 400 420
C 15 units 100 120
D 18 units 40 60
E 10 units 20 28
Options:

140.87

137.27

135.77

132.57

Correct Answer:

137.27

Explanation:

The correct answer is option (2) : 137.27

Price in 2010 → Base Price

Price in 2011 → Current Price

 

Price relative → $I=\frac{p_1}{p_0}×100$ Iw

160

105

120

150

140

 

3200

1470

1800

2700

1400

$∑Iw= 10570$

 

∴ Index Number $=\frac{∑Iw}{∑w}=\frac{10570}{77}= 137.27$