Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

For the data

Variable

Price Weights

Base year Current year
X 30 50 8
Y 10 15 7
Z 25 30 4

The weighted price index number is :

Options:

152.44

150.44

154.44

156.44

Correct Answer:

152.44

Explanation:

The correct answer is Option (1) → 152.44

∑(Current year price $(P_C)$ × Weights) = $(50×8) + (15×7) + (50×4)$

$=625$

∑(Base year price $(P_B)$ × Weights) = $(30×8) + (10×7) + (25×4)$

$=410$

∴ Weighted Price index = $\frac{625}{410}×100≃152.44$