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The prices and the quantities of three commodities are given are :

CommodityPrice (₹) in Year 2006Price (₹) in Year 2009Quantities in Year 2006Quantities in Year 2009
P100901210
Q80xx87
R605046

The Laspeyre's price index number for year 2009 with year 2006 as base is 200. The value of xx is :

Solution

✅ Correct Option: 2

∑p0q0=1200+640+240=2080\sum p_0 q_0 = 1200 + 640 + 240 = 2080.

∑p1q0=1080+8x+200=1280+8x\sum p_1 q_0 = 1080 + 8x + 200 = 1280 + 8x.

1280+8x2080×100=200⇒8x=2880⇒x=360\frac{1280 + 8x}{2080} \times 100 = 200 \Rightarrow 8x = 2880 \Rightarrow x = 360.

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