Maths (commerce) Solve the Following Question.(2 Marks)

Find the Quantity Index Number using Simple Aggregate Method.

Commodity	Based year quantity	Current year quantity
A	100	130
B	170	200
C	210	250
D	90	110
E	50	150

Find the price Index Number using simple Aggregate Method Consider 1980 as base year.

Commodity	Price in 1980 (in Rs.)	Price in 1985 (in Rs.)
I	22	46
II	38	36
III	20	28
IV	18	44
V	12	16

The cost of living Index numbers for years 1995 and 1999 are 140 and 200 respectively. A person earns ₹ 11,200 per month in the year 1995. What should be his monthly earning in the year 1999 in order to maintain his standard of living as in the year 1995?

Find y if the cost of living index is 200

Group	Food	Clothing	Fuel & Lighting	House Rent	Miscellaneous
I	180	120	160	300	200
W	4	5	3	y	2

Calculate the cost of living index.

Group	Food	Clothing	Fuel & Lighting	House Rent	Miscellaneous
I	180	120	300	100	160
W	4	5	6	x	3

Calculate the cost of living index.

Group	Food	Clothing	Fuel & Lighting	House Rent	Miscellaneous
I	200	150	120	180	160
W	30	20	10	40	50

Calculate the cost of living index.

Group	Food	Clothing	Fuel & Lighting	House Rent	Miscellaneous
I	400	300	150	120	100
W	3	3	4	5	2

Calculate the cost of living index.

Group	Food	Clothing	Fuel & Lighting	House Rent	Miscellaneous
I	70	90	100	60	80
W	5	3	2	4	6

Calculate the cost of living index.

Group	Base Year	Base Year	Current Year
	Price	Quantity	Price
Food	132	10	170
Clothing	154	12	160
Fuel & Lighting	164	20	180
House Rent	175	18	195
Miscellaneous	128	5	120

Calculate the cost of living index.

Group	Base Year	Base Year	Current Year
	Price	Quantity	Price
Food	40	15	45
Clothing	30	10	35
Fuel & Lighting	20	17	25
House Rent	60	22	70
Miscellaneous	70	25	80

Calculate the cost of living index.

Group	Base Year		Current Year
	Price	Quantity	Price
Food	120	15	170
Clothing	150	20	190
Fuel & Lighting	130	30	220
House Rent	160	10	180
Miscellaneous	200	12	200

Find x in the following table if Laspeyres and Paasche’s Price Index Numbers are equal.

Commodity	Base Year		Current Year
	Price	Quantity	Price	Quantity
A	2	10	2	5
B	2	5	x	2

If Laspeyre’s Price Index Number is four times Paasche’s Price Index Number, then find the relation between Dorbish-Bowley’s and Fisher’s Price Index Numbers.

Find the Quantity Index Number using the Simple Aggregate Method.

Commodity	A	B	C	D	E
Base Year Quantities	360	280	340	160	260
Current Year Quantities	440	320	470	210	300

Find the Quantity Index Number using the Simple Aggregate Method.

Commodity	I	II	III	IV	V
Base year quantities	140	120	100	200	220
Current year quantities	100	80	70	150	185

Find the Price Index Number using the Simple Aggregate Method.
Use 2005 as a year in the following problem.

VEGETABLE	UNIT	PRICE (IN RS.) IN 2005	PRICE (IN RS.) IN 2012
LADIES FINGER	KG	32	38
CAPSICUM	KG	30	36
BRINJAL	KG	40	60
TOMATO	KG	401	62
POTATO	KG	18	28

Find the Price Index Number using the Simple Aggregate Method.
Assume 2000 to be a base year in the following problem.

Fruit	Unit	Price (in Rs.) in 2000	Price (in Rs.) in 2007
Mango	doz	250	300
Banana	doz	12	24
Apple	kg	80	110
Peach	kg	75	90
Orange	doz	33	65
Sweet Lime	doz	30	45

Find the Price Index Number using the Simple Aggregate Method.
Use 1990 as the base year in the following problem.

Commodity	Unit	Price (in Rs.) for 1990	Price (in Rs.) for 1997
Butter	kg	21	33
Cheese	kg	30	36
Milk	litre	25	29
Bread	loaf	10	14
Eggs	doz	24	36
Ghee	tin	250	320

Find the Price Index Number using the Simple Aggregate Method.
Use 2000 as the base year in the following problem.

Commodity	Price (in Rs.) for year 2000	Price (in Rs.) for year 2006
Watch	900	1475
Shoes	1800	2300
Sunglasses	600	1040
Mobile	4500	8500

Find the Price Index Number using the Simple Aggregate Method.

COMMODITY	UNIT	BASE YEAR PRICE (IN RS.)	CURRENT YEAR PRICE (IN RS.)
WHEAT	KG	28	36
RICE	KG	40	56
MILK	LITRE	32	45
CLOTHING	METER	82	104
FUEL	LITRE	58	72

Find the Price Index Number using the Simple Aggregate Method.
Use 1995 as the base year in the following problem.

Commodity	A	B	C	D	E
Price (in Rs.) in 1995	42	30	58	70	120
Price (in Rs.) in 2005	60	55	75	110	140

Find the value Index Number using the Simple Aggregate Method.
Find y is the Price Index Number by Simple Aggregate Method is 120, taking 1995 as the base year.

Commodity	A	B	C	D
Price (in Rs.) for 1995	95	y	80	35
Price (in Rs.) for 2003	116	74	92	42

Find the value Index Number using the Simple Aggregate Method.
Find x if the Price Index Number by Simple Aggregate Method is 125

Commodity	P	Q	R	S	T
Base Year Price (in Rs.)	8	12	16	22	18
Current Year Price (in Rs.)	12	18	x	28	22

Find the value Index Number using the Simple Aggregate Method.

COMMODITY	BASE YEAR		CURRENT YEAR
	PRICE	QUANTITY	PRICE	QUANTITY
A	50	22	70	14
B	70	16	90	22
C	60	19	105	14
D	120	12	140	15
E	100	22	155	28

Find the value Index Number using the Simple Aggregate Method.

COMMODITY	BASE YEAR		CURRENT YEAR
	PRICE	QUANTITY	PRICE	QUANTITY
A	30	22	40	18
B	40	15	60	12
C	10	38	15	24
D	50	12	60	16
E	20	28	25	36

Find the Price Index Number using the Simple Aggregate Method.
Use 1995 as the base year in the following problem.

COMMODITY	P	Q	R	S	T
PRICE ( IN RS. ) IN 1995	15	20	24	23	28
PRICE (IN RS.) IN 2000	27	38	32	40	45