Find index number using Fixed base method by taking base year 2011, Chain base method

Item\Year	2011	2012	2013	2014	2015
Wheat	40	46	50	56	64
Bajri	20	30	36	42	54
Chana	50	64	80	96	112

Solution:
Fixed base method :
Fixed base index number `I=("Value of variable in current year (period)")/("Value of variable in base year (period)") xx 100`

Base year = 2011

Item\Year	2011	2012	2013	2014	2015
Wheat	`(40)/(40)xx100=100`	`(46)/(40)xx100=115`	`(50)/(40)xx100=125`	`(56)/(40)xx100=140`	`(64)/(40)xx100=160`
Bajri	`(20)/(20)xx100=100`	`(30)/(20)xx100=150`	`(36)/(20)xx100=180`	`(42)/(20)xx100=210`	`(54)/(20)xx100=270`
Chana	`(50)/(50)xx100=100`	`(64)/(50)xx100=128`	`(80)/(50)xx100=160`	`(96)/(50)xx100=192`	`(112)/(50)xx100=224`
Total	300	393	465	542	654
General index number `=("Total")/3`	`300/3=100`	`393/3=131`	`465/3=155`	`542/3=180.67`	`654/3=218`

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Chain base method :
Chain base index number `I=("Value of variable in current year (period)")/("Value of variable in preceding year (period)") xx 100`

Item\Year	2011	2012	2013	2014	2015
Wheat	`(40)/(40)xx100=100`	`(46)/(40)xx100=115`	`(50)/(46)xx100=108.7`	`(56)/(50)xx100=112`	`(64)/(56)xx100=114.29`
Bajri	`(20)/(20)xx100=100`	`(30)/(20)xx100=150`	`(36)/(30)xx100=120`	`(42)/(36)xx100=116.67`	`(54)/(42)xx100=128.57`
Chana	`(50)/(50)xx100=100`	`(64)/(50)xx100=128`	`(80)/(64)xx100=125`	`(96)/(80)xx100=120`	`(112)/(96)xx100=116.67`
Total	300	393	353.7	348.67	359.52
Aggregate index number `=("Total")/3`	`300/3=100`	`393/3=131`	`353.7/3=117.9`	`348.67/3=116.22`	`359.52/3=119.84`

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