CUET · MATHS · PYQ PAPER 2023

From the following table calculate the Price Index for the year 2015, with base year 2011 :
Year Commodities
A B C
2011 32 80 100
2015 40 120 180

A 125
B 180
C 150
D 160

Verified Solution

Answer & Solution

Correct Answer

(D) 160

Step-by-step Solution

Detailed explanation

\( \text{Price Index} = \left( \frac{\sum P_1}{\sum P_0} \right) \times 100 \) \( \sum P_0 = 32 + 80 + 100 = 212 \) \( \sum P_1 = 40 + 120 + 180 = 340 \) \( \text{Price Index} = \left( \frac{340}{212} \right) \times 100 \) \( \text{Price Index} = 160.38 \approx 160 \)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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From the following table calculate the Price Index for the year 2015, with base year 2011 : Year Commodities ABC20113280100201540120180

Step-by-step Solution

From the following table calculate the Price Index for the year 2015, with base year 2011 :
Year Commodities
A B C
2011 32 80 100
2015 40 120 180