CAT 1998 — QA Question 23
Direction: Answer the question based on the following information.
A, B, C and D collected one-rupee coins following the given pattern.
- Together they collected 100 coins.
- Each one of them collected even number of coins.
- Each one of them collected at least 10 coins.
- No two of them collected the same number of coins.
You can collect as many rubies and emeralds as you can. Each ruby is worth Rs. 4 crore and each emerald is worth Rs. 5 crore. Each ruby weighs 0.3 kg. And each emerald weighs 0.4 kg. Your bag can carry at the most 12 kg. What should you collect to get the maximum wealth?
Answer & solution
- A
20 rubies and 15 emeralds
40 rubies
- C
28 rubies and 9 emeralds
- D
None of these
To maximise the value of the wealth, we must carry more of the one whose value per kilogram is more. Value per kilogram of ruby = = Rs. 13.33 crore, and value per rupee of each emerald = = Rs. 12.5 crore.
It is obvious that we should carry entire 12 kg of ruby. This would amount to = 40 rubies.