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.
| Company | Cost (%) | I:II | Profit I (%) | Profit 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 |
What is the total cost of production of item I by Companies A and C together?
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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