Q14
If PA has a 40 percent weightage in the WPI-based inflation calculation in 2005-06, find the corresponding approximate percentage weight assigned assigned to F&P and MP in the WPI- based inflation calculation for the same year.
Answer: A
Let the weight given to F&P and MP be a% and b% respectively.
Since PAS has a 40% weightage, these two commodities should have a combined weightage of 60%.
∴ a + b = 0.6 ... (i)
Also, using these weightages: (0.4)(104.3) + 113.6a + 102.4b = 104.5
∴ 113.6a + 102.4b = 62.78 ... (ii)
On solving: a = 0.12 and b = 0.48
Thus, the weights for F&P and MP are 12% and 48% respectively.
Hence, option (a).