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Standard XII

Accountancy

Inventory Turnover Ratio

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Question

Find the consumer price index number for the year 2010 using year 2000 as the base year by using method of weighted aggregates
Commodity A B C D E
Year 2000 price
(in Rs. per unit) 16 40 0.50 5.12 2.00
Year 2010 price
(in Rs. per unit) 20 60 0.50 6.25 1.50
Weights 40 25 5.00 20.00 10.00

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Solution

Commodity Year 2000 price
base Price
$(P_{0})$ Year 2010 price
current price
$(P_{1})$
Weights
$(W)$ $P_{0} W$ $P_{1} W$
A 16.00 20.00 40 640.0 800.0
B 40.00 60.00 25 1000.0 1500.0
C 0.50 0.50 05 2.5 2.5
D 5.12 6.25 20 102.4 125.0
E 2.00 1.50 10 20.0 15.0
$\sum P_{0} W = 1764.9$ $\sum P_{1} W = 2442.5$

Hence, the price index using weighted aggregate

$P_{01} = \frac{\sum P_{1} W}{\sum P_{0} W} \times 100 = \frac{2442.5}{1764.9} \times 100 = 138.39$

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Commodity	A	B	C	D	E
Year 2000 price (in Rs. per unit)	16	40	0.50	5.12	2.00
Year 2010 price (in Rs. per unit)	20	60	0.50	6.25	1.50
Weights	40	25	5.00	20.00	10.00

Commodity	Year 2000 price base Price $(P_{0})$	Year 2010 price current price $(P_{1})$	Weights $(W)$	$P_{0} W$	$P_{1} W$
A	16.00	20.00	40	640.0	800.0
B	40.00	60.00	25	1000.0	1500.0
C	0.50	0.50	05	2.5	2.5
D	5.12	6.25	20	102.4	125.0
E	2.00	1.50	10	20.0	15.0
				$\sum P_{0} W = 1764.9$	$\sum P_{1} W = 2442.5$

Find the consumer price index number for the year 2010 using year 2000 as the base year by using method of weighted aggregatesCommodityABCDEYear 2000 price(in Rs. per unit)16400.505.122.00Year 2010 price(in Rs. per unit)20600.506.251.50Weights40255.0020.0010.00

Find the consumer price index number for the year 2010 using year 2000 as the base year by using method of weighted aggregates
Commodity A B C D E
Year 2000 price
(in Rs. per unit) 16 40 0.50 5.12 2.00
Year 2010 price
(in Rs. per unit) 20 60 0.50 6.25 1.50
Weights 40 25 5.00 20.00 10.00