Paper 1 · Data Interpretation
UGC NET December 2021 June 2022 (09.07.2022) Shift-II
Passage
The table gives details of seven companies (A-G): the percentage cost distribution of production of two items I and II, the ratio of production cost between items I and II, and the percentage profit earned on items I and II. Total production cost of all seven companies is Rs. 50 crores. Company, percent of total cost, I:II ratio, profit% on I, profit% on II: A, 15, 2:3, 25, 20; B, 11, 3:2, 32, 35; C, 22, 4:1, 20, 22; D, 8, 3:5, 15, 25; E, 27, 5:3, 28, 30; F, 5, 1:4, 35, 25; G, 12, 1:2, 30, 24. Answer questions 1-5 based on the data.
What is the total cost of production of item I by Companies A and C together?
ARs. 18.5 crores
BRs. 11.8 crores ✓ Correct
CRs. 8.325 crores
DRs. 9.8 crores
Correct answer: (B) Rs. 11.8 crores — The total cost of item I by Companies A and C is Rs. 11.8 crores.
Explanation
★The total cost of item I by Companies A and C is Rs. 11.8 crores.
★The total production cost across all companies is Rs. 50 crores, so one percent equals half a crore.
★Company A holds 15 percent of the cost, split between items I and II in the ratio 2 to 3.
★So item I of Company A is 15 times 2 by 5, which gives 3 crores.
★Company C holds 22 percent, split 4 to 1, so item I is 22 times 4 by 5, which gives about 8.8 crores.
★Adding the two item I costs gives roughly 11.8 crores.
★Each company total is first found, then divided by the item ratio to isolate item I.
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