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The Consumer Price Index for April 2001 was 125. The food index was 120 and for other items it was 135.…

Let \(w\) be the proportion of weight given to food. Then \(120w + 135(1 - w) = 125 \implies 15w = 10 \implies w = \frac{2}{3} \approx 66.67\%\).

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The Consumer Price Index for April 2001 was 125. The food index was 120 and for other items it was 135. The percentage of total weight given to food is -

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Let ww be the proportion of weight given to food. Then 120w+135(1−w)=125  ⟹  15w=10  ⟹  w=23≈66.67%120w + 135(1 - w) = 125 \implies 15w = 10 \implies w = \frac{2}{3} \approx 66.67\%.

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