Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Construct the consumer index for 2010 taking 2009 as the base year, and using simple average of price relative method for the following data:

Commodities Price in 2009 Price in 2010
Butter 20 21
Cheese 16 12
Milk 3 3
Eggs 2.80 2.80
Options:

90

95

100

105

Correct Answer:

95

Explanation:

The correct answer is option (2) : 95

Commodities Base Price (₹) Current Price $P_1$ Price relative $\frac{P_1}{P_0}×100$

Butter

Cheese

Milk

Eggs

20

16

3

2.80

21

12

3

2.80

$(21/20)×100=105$

$(12/16)×100=75$

$(3/3)×100=100$

$(2.80/2.80)×100=100$

      $∑\frac{p_1}{p_0}×100=380$

Hence required consumer price index.

$p_{01}=\frac{1}{N}×380$

$=\frac{1}{4}×380= 95$