Question

Calculate the cost of living index number of $1999$, on the basis of $1995$ from the following data.

Item	Quantity	Cost (in Rs.) per kg.	Cost (in Rs.) per kg.
	(in kg)	(year $1995$)	(Year $1999$)
A	$20$	$12$	$15$
B	$10$	$07$	$08$
C	$12$	$15$	$30$
D	$15$	$35$	$40$
E	$05$	$15$	$30$

Answer 1

Items	Weight (in kg)	Price per kg (in Rs.)	Price per kg (in Rs.)	Total prices of Items(in Rs.)	Total price of Items (in Rs.)
	$q_{oi}$	in $1995$ $p_{oi}$	in $1999$ $p_{ti}$	in $1995$ $q_{oi}\times p_{oi}$	in $1999$ $q_{oi}\times p_{ti}$
A	$20$	$12$	$15$	$240$	$300$
B	$10$	$07$	$08$	$070$	$080$
C	$12$	$15$	$20$	$180$	$240$
D	$15$	$35$	$40$	$525$	$600$
E	$05$	$15$	$30$	$075$	$150$
Total				$\sum q_{oi}{P}_{oi}=1090$	$\sum q_{oi}{p}_{ti}=1370$

Cost of living index number$=\frac{\sum q_{oi}\times p_{ti}}{\sum q_{oi}\times p_{oi}}\times 100$

$=\frac{1370}{1090}\times 100$

Thus, the cost of living index number$=125.69$.