Find Fisher's index number for the year 2015 by taking the year 2014 as the base year from the data given below about consumption and total expenditure of five different items: | Items | Consumption (Base Year 2014) | Total Expenditure (Base Year 2014) | Consumption (Current Year 2015) | Total Expenditure (Current Year 2015) | |---|---|---|---|---| | A | 50 kg | 2500 | 60 kg | 4200 | | B | 120 kg | 600 | 140 kg | 700 | | C | 30 litre | 330 | 20 litre | 200 | | D | 20 kg | 360 | 15 kg | 300 | | E | 5 kg | 40 | 5 kg | 50 |

Find Fisher's index number for the year 2015 by taking the year 2014 as the base year from the data given belo

Question 45 of 45

Find Fisher's index number for the year 2015 by taking the year 2014 as the base year from the data given below about consumption and total expenditure of five different items:

Items	Consumption (Base Year 2014)	Total Expenditure (Base Year 2014)	Consumption (Current Year 2015)	Total Expenditure (Current Year 2015)
A	50 kg	2500	60 kg	4200
B	120 kg	600	140 kg	700
C	30 litre	330	20 litre	200
D	20 kg	360	15 kg	300
E	5 kg	40	5 kg	50

Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2026Subjective· 5mImportance★★★★★

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$p=\tfrac{\text{expenditure}}{\text{consumption}}$ ; $\Sigma p_0q_0=3830,\ \Sigma p_1q_0=4850,\ \Sigma p_1q_1=5450,\ \Sigma p_0q_1=4230$ ; $I_F=\sqrt{\tfrac{4850}{3830}\cdot\tfrac{5450}{4230}}\times100=127.73$ .

Since expenditure $=$ price $\times$ consumption, price $=\dfrac{\text{total expenditure}}{\text{consumption}}$ . So $p_0=\dfrac{p_0q_0}{q_0}$ and $p_1=\dfrac{p_1q_1}{q_1}$ :

Item	$q_0$	$p_0q_0$	$p_0$	$q_1$	$p_1q_1$	$p_1$	$p_1q_0$	$p_0q_1$
A	50	2500	50	60	4200	70	3500	3000
B	120	600	5	140	700	5	600	700
C	30	330	11	20	200	10	300	220
D	20	360	18	15	300	20	400	270
E	5	40	8	5	50	10	50	40
Total		3830			5450		4850	4230

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