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Home Questions 6UFDFH648M
Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Compute the weighted aggregative price index number for year 2008 with year 2000 as base year using Paasche's index number from the following data.


Commodity		 Prices (₹) Quantities
In 2000 In 2008 In 2000 In 2008
A 38 35 6 7
B 12 18 7 10
C 10 15 10 15
D 25 30 12 16
E 300 33 8 10
Options:

112.9

118.12

115.3

120.8

Correct Answer:

118.12

Explanation:

The correct answer is option (2) : 118.12


Commodity
Price (₹)
Quantity		 $p_0q_1$ $p_0q_1$ $p_1q_0$ $p_1q_1$
$p_0$ $p_1$ $q_0$ $q_1$
A 38 35 6 7 228 266 210 245
B 12 18 7 10 84 120 126 180
C 10 15 10 15 100 150 150 225
D 25 30 18 16 300 400 360 480
E 30 33 8 10 240 300 264 330
Total         952 1236 1110 1460

 

Paasche's Index number $=\frac{∑p_1q_1}{∑p_0q_1}×100$

$=\frac{1460}{1236}×100= 118.12$

CUET Questions