Get Started
Start Free Mocks
CUETMOCK

Ace Your

CUET Preparation Today

Start Free Mocks
Home Questions QVVEA7YY88
Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

From the following table calculate quantity index numbers for 2015 with quantities in 2013 as base. Use Simple average of relatives Method applying Arithmetic Mean.

Commodities

A

B

C

D

E

Units

  Kg. Kg. Kg. Kg. Kg.

Quantity (2013)

12

15

18

20

30

Quantity (2015)

24

30

27

25

30
Options:

145

155

165

158

Correct Answer:

155

Explanation:

The correct answer is Option (2) → 155

Commodities

Unit

Quantity in 2013 ($q_0$​)

Quantity in 2015 ($q_1$​)

Quantity Relatives $QR​=\frac{q_1}{​q_0}​​×100$

A

 Kg. 

12

24

$\frac{2400}{12} = 200$

B

 Kg. 

15

30

$\frac{3000}{15} = 200$

C

 Kg. 

18

27

$\frac{2700}{18} = 150$

D

 Kg. 

20

25

$\frac{2500}{20} = 125$

E

 Kg. 

30

30

$\frac{3000}{30} = 100$

 

 

$\sum q_0 = 95$

$\sum q_1 = 136$

 

Final Calculation

Using Simple average of relatives Method:

$Q_{01} = \frac{\sum Q}{N} = \frac{200 + 200 + 150 + 125 + 100}{5} = \frac{775}{5} = 155$

CUET Questions