The consumer Price index for june, 2005 was 125. The food index was 12

1.	The consumer Price index for june, 2005 was 125. The food index was 120 and that of other items 135. What is the Percentage of the total weight given to food?
Answer» Suppose the Percentage of weight given to food = x In this case Percentage of weight given to other items would be = (100 – x) Hence, 125 = \(\frac{(X+120)+(100 - x)\times135}{100}\) or 12,500 = 12x + 13,500 – 135x or 15x = 13,500 – 12,500 = 1,000 X = \(\frac{1,000}{15}\) = 66.66% Hence, Percentage of the total weight given to food = 66.66.

The consumer Price index for june, 2005 was 125. The food index was 120 and that of other items 135. What is the Percentage of the total weight given to food?

Answer»

Suppose the Percentage of weight given to food = x In this case Percentage of weight given to other items would be = (100 – x)

Hence,

125 = \(\frac{(X+120)+(100 - x)\times135}{100}\)

or 12,500 = 12x + 13,500 – 135x

or 15x = 13,500 – 12,500 = 1,000

X = \(\frac{1,000}{15}\) = 66.66%

Hence, Percentage of the total weight given to food = 66.66.