From the following table calculate quant

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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 aggregative Method.

Options:

151.19

145.28

143.16

148.75

Correct Answer:

143.16

Explanation:

The correct answer is Option (3) → 143.16

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 Aggregative Method:

$Q_{01} = \frac{\sum q_1}{\sum q_0} \times 100$

$= \frac{136 \times 100}{95} = 143.16$