Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

The quotations for four different commodities for the years 2013 and 2018 are given below. Calculate the index number for 2018 with 2013 as the base year by using the weighted average of price relatives method.

Options:

167.05

170.25

162.15

164.05

Correct Answer:

164.05

Explanation:

The correct answer is option (4) : 164.05

Price (in ₹) in 2013 = Base price $(p_0)$

Price (in ₹) in 2018 = Current price $(p_1)$

 

Price relative

$I=\frac{p_1}{p_0}×100$

$Iw$

225

128

150

180

 

1125

896

900

360

$∑Iw= 3281$

 

∴Index number= $\frac{∑Iw}{∑w}=\frac{3281}{20}= 164.05$