TheCATExam
Sign in

CAT 1998 — QA Question 23

Even OddEasy

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

Correct answer: 40 rubies

  • A

    20 rubies and 15 emeralds

  • 40 rubies

  • C

    28 rubies and 9 emeralds

  • D

    None of these

Solution

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 = (40.3) = Rs. 13.33 crore, and value per rupee of each emerald = (50.4) = Rs. 12.5 crore.

It is obvious that we should carry entire 12 kg of ruby. This would amount to (120.3) = 40 rubies.

Related Even Odd questions

See all Number Theory questions →
CAT 1998 QA Q23: You can collect as many rubies and emeralds as you can. Each ruby is worth Rs. 4 crore and each emerald is wor — Solution | TheCATExam