Applied Mathematics

Time Based Data

Easy

applied

A consumer in 2015, paid Rs 20 per kg for a particular variety of rice. The wholesale price index number for this variety of rice for the year 2018, with the year 2015 as the base year is 125. Then the cost per kg of rice in the year 2018 will be:

Rs 25 per kg

Rs 30 per kg

Rs 26 per kg

Rs 35 per kg

✅ Correct Option: 1

Index number formula: Price $_{2018}$ $=$ Price $_{2015}$ $\times \frac{\text{Index}}{100} = 20 \times \frac{125}{100} = 25$ Rs per kg.

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 :

2023: 22 May Shift 3

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 :

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: 11 Aug Shift 1

Irregular variation in a time series are not caused by :

2023: 7 June Shift 1

For a given data of 5 observation $\sum y = 311$ , $\sum x^2 = 10$ and $\sum xy = 90$ . The equation of the trend line is :

2023: 15 June Shift 2

Consider the following data :

Year	2012	2013	2014	2015	2016
Sales (in ₹ crores)	8	10	7	9	12

The equation of the straight line trend by the method of least squares is :

Solution