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The cost of production of item I by Company F is what percent of the cost…

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.
The cost of production of item I by Company F is what percent of the cost of production of item II by Company D?
A16 percent
B33.33 percent
C66.67 percent
D20 percent ✓ Correct
Correct answer: (D) 20 percent — The item I cost of Company F is 20 percent of the item II cost of Company D.
Explanation
The item I cost of Company F is 20 percent of the item II cost of Company D.
Company D item II cost was found to be 2.5 crores.
Company F holds 5 percent of 50 crores, which is 2.5 crores of total cost.
Its items I and II are in the ratio 1 to 4, so item I is 2.5 crores times 1 by 5.
This gives an item I cost of 0.5 crores.
So 0.5 crores as a percent of 2.5 crores is 0.5 divided by 2.5 times 100, which is 20 percent.
The percentage compares one derived cost against another derived cost.

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