The consumer price index for May, 2008 was 110. The food index was 100 and that of other items 150. What is the percentage of the total weight given to food?

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Solution

The correct option is B
80

Let the weight given to food be f percent.
Weight given to other items = (100 – f) percent
Therefore, 100f + 150(100 – f) $= 110 \times 100$
(150 – 100)f = $(150 - 110) \times 100$
$50 f = 40 \times 100$
f = 80

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The consumer price index for May, 2008 was 110. The food index was 100 and that of other items 150. What is the percentage of the total weight given to food?

The correct option is B 80 Let the weight given to food be f percent. Weight given to other items = (100 – f) percent Therefore, 100f + 150(100 – f) =110×100 (150 – 100)f = (150−110)×100 50f=40×100 f = 80

The correct option is B
80

Let the weight given to food be f percent.
Weight given to other items = (100 – f) percent
Therefore, 100f + 150(100 – f) $= 110 \times 100$
(150 – 100)f = $(150 - 110) \times 100$
$50 f = 40 \times 100$
f = 80