INDEX NUMBER 1) For Each of the following examples, find price index number using simple aggregate method. a) COMMODITY P PRICE (in Rs.) 10 In 1995 Price (in Rs.) 32 In 2000 Use 1995 as base year. Q 25 R 14 S 20 T 30 40 20 45 70 b) COMMODITY PRICE (in Rs.) For year 2003 800 1875 550 3500 Watch Shoes sunglasses mobiles Consider year 2003 as base. Price (in Rs.) For year 2006 1675 2200 970 7500 2) Find Quantity Index Number, Using simple Aggregate method. Commodity I II III IV V Base Year Quantities 170 150 100 195 205 Current Year Quantities 90 70 75 150 95 3) Calculate the value index number using simple aggregate method. commodity A B C D E Base year price 30 40 10 50 20 Base year quantity 13 15 12 10 14 Current year price 40 70 60 90 100 Current year quantity 15 20 22 18 16 4) Find x if the Price index number by simple Aggregate method is 125 COMMODITY BASE YEAR PRICE (IN Rs.) Current year price (in Rs.) P 10 Q 8 R 12 S 24 T 18 14 10 x 28 22 5) Calculate Laspeyer's Paasche’s, Dorbish-Bowley's And Marshall Edgeworth’s Price index number. a) commodity A B C D Base year price 8 7 3 2 Base year quantity 20 10 30 50 Current year price 11 12 5 4 Current year quantity 5 10 20 15 Base year price 10 20 30 40 Base year quantity 9 5 7 8 Current year price 50 60 70 80 Current year quantity 8 4 3 2 Base year quantity 16 16 28 Current year price 3 2 7 Current year quantity 9 4 7 b) commodity I II III IV 6) Calculate Walsch’s Price index number. commodity L M N Base year price 4 6 8 7) If P01 (L)=90 and P01 (P)= 40, Find P01 (D-B) and P01 (F). 8) Given that ∑p0q0 = 220, ∑p0q1 = 380, ∑p1q1 = 350 and Marshall Edgeworth's Price Index Number is 150. Find Laspeyre's Price Index Number. 9) Calculate the cost of Living index. a) Group Food Clothing Fuel & Lighting House Rent Miscellaneous Base year price 120 150 130 160 200 Base year quantity 15 20 30 10 12 Current year price 170 190 220 80 100 Base year price 40 30 20 60 70 Base year quantity 5 10 17 22 25 Current year price 20 35 10 10 8 b) Group Food Clothing Fuel & Lighting House Rent Miscellaneous 10) Find x, if cost of living index is 150. Group Food Clothing Fuel & Lighting House Rent Miscellaneous I 180 120 300 200 160 W 4 5 6 x 3 11) Find y, if 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
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