Question
Find Price Index Number using Simple Aggregate method by taking $2000$ as base year
Commodity Price (in ₹) for
year 2000
Price (in ₹) for
year 2007
Watch 900 1,475
Shoes 1,760 2,300
Sunglasses 60 1,040
Mobile 4,500 8,500

Answer

Commodity Price in 2000
(Base year) $p_0$
Price in 2007
(Current year) $p_1$
Watch 900 1,475
Shoes 1,760 2,300
Sunglasses 60 1,040
Mobile 4,500 8,500
Total 7,760 13,315

From the table, $\sum p _0=7,760, \sum p _1=13,315$ Price Index Number $\left( P _{01}\right)=\frac{\sum p _1}{\sum p _0} \times 100$
$ =\frac{13,315}{7,760} \times 100$
$=171.59 $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Obtain trend values for data, using 3-yearly moving averages
Solution:
YearIMR3 yearly
moving total
3-yearly moving
average

(trend value)
198010
19857$\square$7.33
1990516$\square$
19954124
200038$\square$
20051$\square$1.33
20100
Find the equations of tangent and normal to the following curves at the given point on it:
$2 x^2+3 y^2=5$ at $(1,1)$
Find $\frac{ d y}{ d x}$, if $y = x ^{ x }+(7 x -1)^{ x }$
Maximize Z = 5x + 10y subject to constraintsx + 2y ≤ 10, 3x + y ≤ 12, x ≥ 0, y ≥ 0
Find the inverse of matrix $A=\left[\begin{array}{lll}1 & 0 & 1 \\ 0 & 2 & 3 \\ 1 & 2 & 1\end{array}\right]$ by using elementary row transformations
Smita is a diet conscious house wife, wishes to ensure certain minimum intake of vitamins $A, B$ and $C$ for the family.
The minimum daily needs of vitamins $A , B$, and C for the family are $30,20 ,$ and $16$ units respectively.
For the supply of the minimum vitamin requirements Smita relies on $2$ types of foods $F_1$ and $F_2 . F_1$ provides $7,5$ and $2$ units of $A, B$, $C$ vitamins per $10$ grams and $F_2$ provides $2,4$ and $8$ units of $A, B$ and $C$ vitamins per $10$ grams.
$F_1$ costs $₹ 3$ and $F_2$ costs $₹ 2$ per 10 grams. How many grams of each $F_1$ and $F_2$ should buy every day to keep her food bill minimum
A dairy plant has five milk tankers, I, II, III, IV & V. These milk tankers are to be used on five delivery routes A, B, C, D & E. The distances (in kms) between the dairy plant and the delivery routes are given in the following distance matrix.
IIIIIIIVV
A150120175180200
B125110120150165
C130100145160175
D40407070100
E4525607095
How should the milk tankers be assigned to the chilling centre so as to minimize the distance travelled?
Find the equation of tangent to the curve $y = x^2 + 4x$ at the point whose ordinate is $– 3$
Determine the maximum and minimum values of the following functions:
$f(x)=2 x^3-21 x^2+36 x-20$
Four new machines $M_1, M_2, M_3$, and $M_4$​​​​​​​ are to be installed in a machine shop. There are five vacant places $A, B, C, D,$ and $E$ available. Because of limited space, machine $M_2$​​​​​​​ cannot be placed at $C$ and $M_1$​​​​​​​ cannot be placed at $A$. The cost matrix is given below.
Machines Places
  A B C D E
M1 $4$ $6$ $10$ $5$ $6$
M2 $7$ $4$ - $5$ $4$
M3 - $6$ $9$ $6$ $2$
M4 $9$ $3$ $7$ $2$ $3$
Find the optimal assignment schedule.