Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Calculate the price index using weighted average of relatives method for the food consumption in a student hostel in a month. Use data of year 1997 as base year for calculations.

COMMODITY

WEIGHT

PRICE PER UNIT

1997

2001

Rice

14 quintals

90

120

Wheat

20 kg

30

46

Pulses

35 kg

22

34

Milk

15 litre

50

90

Options:

152.07

142.35

172.15

166.6

Correct Answer:

152.07

Explanation:

The correct answer is Option (1) → 152.07

Weighted price relative for year 2001 on the base period 1997 = $I_{2001} = \frac{\sum \frac{p_n}{p_0}(p_0 Q_0)}{\sum p_0 Q_0} \times 100$

$= \frac{5140}{3380} \times 100$

$= 152.07$