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Question -

The consumer price index for June, 2005 was 125. The food index was 120 and that of other items
What is the percentage of the total weight given to food?



Answer -

Let the total weight = 100
W1 denotes weight of food
W2 denotes weight of other items
So,
Multiplying both sides of Eq. (i) by 135 and subtracting Eq. (ii) from (i) we get
Substituting the value of in the Eq. (i), we get
W1 + W2 = 100
or 6667 + W2 = 100
W2 = 33.33
Therefore, percentage of total weight given to food is 66.67% and other items 33.33%.

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