Find \(y\) if the cost of living index is 200 for the following data:GroupFoodClothingFuel and LightingHouse RentMiscellaneousI180120160300200W453\(y\)2

Q.5 (A) (iii) Find \(y\) if the cost of living index is 200 for the following data:

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

Doubtly Asked 29 Oct 2026 Board exam · July 2025 hsc 12th Save WhatsApp Report

1 answer

Best answer

Answer: \(y=6\)

Group	I	W	IW
Food	180	4	720
Clothing	120	5	600
Fuel and Lighting	160	3	480
House Rent	300	\(y\)	\(300y\)
Miscellaneous	200	2	400
Total		\(14+y\)	\(2200+300y\)

C.L.I. \(=\frac{\sum IW}{\sum W}\Rightarrow 200=\frac{2200+300y}{14+y}\)
\(\therefore 2800+200y=2200+300y\Rightarrow 100y=600\Rightarrow y=6\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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