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In a market survey, three commodities A, B and C were studied. Each commodity had three varieties…
In a market survey, three commodities A, B and C were studied. Each commodity had three varieties. To find out the index number of A, B and C fixed weights were assigned to the three varieties of each of the commodities.
The table given below shows the result of the survey.
Answer the following questions:
| Commodity | Variety I | Variety II | Variety III | Total weight |
|---|---|---|---|---|
| A | 1 | 2 | 3 | P |
| B | 2 | 1 | 4 | Q |
| C | 3 | 2 | 1 | R |
(i)[1.0]
Represent the above information in a matrix form.
(ii)[1.0]
Find the value of P, Q and R if the weights assigned to Variety I, Variety II and Variety III are 2 kg, 3 kg and 1 kg respectively.
Answer
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From ISC 2025 Improvement Mathematics Paper 1, question 6.