Applied Mathematics

Time Based Data

Medium

applied

For the data :

Variable Price - Base year Price - Current year Weights
X 50 60 5
Y 20 25 7
Z 30 40 4

The weighted aggregative index number is :

Variable	Price - Base year	Price - Current year	Weights
X	50	60	5
Y	20	25	7
Z	30	40	4

125.50

120.50

124.50

126.50

✅ Correct Option: 3

Weighted aggregative index $=\frac{\Sigma P_1 W}{\Sigma P_0 W}\times 100$ .

$\Sigma P_1 W=60(5)+25(7)+40(4)=300+175+160=635$ .

$\Sigma P_0 W=50(5)+20(7)+30(4)=250+140+120=510$ .

Index $=\frac{635}{510}\times 100\approx 124.50$ .

2026: 14 May Shift 2

The components of time-series are

A. Seasonal component

B. Reverse component

C. Cyclic component

D. Irregular component

Choose the correct answer from the options given below:

2023: 30 May Shift 3

Match List - I with List - II.

Given that $\Sigma p_0 q_0 = 150$ , $\Sigma p_0 q_1 = 80$ , $\Sigma p_1 q_0 = 240$ , $\Sigma p_1 q_1 = 200$ .

Choose the correct answer from the options given below :

2023: 15 June Shift 2

The prices and the quantities of three commodities are given are :

Commodity	Price (₹) in Year 2006	Price (₹) in Year 2009	Quantities in Year 2006	Quantities in Year 2009
P	100	90	12	10
Q	80	$x$	8	7
R	60	50	4	6

The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of $x$ is :

2023: 15 June Shift 2

If Paasche's index number is 160 and Laspeyre's index number is 250, then Fisher's index number is :

2026: 29 May Shift 2

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	Rise and fall of the share market	I. Seasonal Component
B.	Continuous increase in the population of India	II. Cyclical Component
C.	The rise in prices of woolen clothes in winter	III. Irregular Component
D.	Increase in prices of goods due to strikes of transporters	IV. Trend Component

Choose the correct answer from the options given below:

2026: 21 May Shift 2

For the given five values, 13, 17, 21, 25, 35, the three years moving averages are:

For the data : VariablePrice - Base yearPrice - Current yearWeightsX50605Y20257Z30404 The weighted aggregative index number is :