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For seven companies A–G: percent of total production cost, I:II production cost ratio, and profit % on items I and II. Total production cost = Rs 50 crore.

CompanyCost (%)I:IIProfit I (%)Profit II (%)
A152:32520
B113:23235
C224:12022
D83:51525
E275:32830
F51:43525
G121:23024

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
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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