Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Index Numbers and Time Based Data

Question:

Compute the weighted aggregative index number for the following data:

Variable

Price

Weights

Current year

Base year

X

5

4

60

Y

3

2

50

Z

2

1

30

 

Options:

125.50

132.15

137.84

145.20

Correct Answer:

137.84

Explanation:

The correct answer is Option (3) → 137.84

The weighted aggregative price index is given by:

$P_{01} = \frac{\sum p_1 W}{\sum p_0 W} \times 100$

Calculation Table:

Variable

$p_1$​ (Current)

$p_0$​ (Base)

W (Weight)

$p_1​W$

$p_0​W$

X

5

4

60

$5 \times 60 = 300$

$4 \times 60 = 240$

Y

3

2

50

$3 \times 50 = 150$

$2 \times 50 = 100$

Z

2

1

30

$2 \times 30 = 60$

$1 \times 30 = 30$

Total

 

 

 

$\sum p_1 W = 510$

$\sum p_0 W = 370$

 

Apply the formula:

$P_{01} = \frac{510}{370} \times 100$

$P_{01} \approx 1.378378 \times 100$

$P_{01} = 137.84$