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The cost of the living index for 2008, t...


The cost of the living index for 2008, taking 2007 as the base year, is 200. Find y.
(a) 10
(b) 12
(c )14
(d) 8

Text Solution

Verified by Experts

Total expenditure in 2007 (in Rs. ) =(16)(y)+(y)(20)+(10)(24)+(12)(45)=36y+780
Total expenditure in 2008 (in Rs.)=(16)(50)+(y)(32)+(10)(y+16)+(12)(75)=1860+42y
`200=(1860+42y)/(36y+780)xx(100)`
2(36y+780)=1860+42y
30y=300
`therefore y=10`.
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