Question

You can collect rubies and emeralds as many as you can. Each ruby is worth ₹4 crore and each emerald is worth ₹5 crore. Each ruby weights 0.3 kg and each emerald weights 0.4 kg. Your bag can carry at the most 12 kg. What you should collect to get the maximum wealth?

Options

• 20 rubies and 15 emeralds

• 40 rubies

• 28 rubies and 9 emeralds

• none of these

Answer 1

40 rubies

Explanation:

As bag limit is 12 kg

Ruby 0.3 kg worth 4 crore

`∴` 1 kg Ruby =`4/0.3=13.33` crore

Emerald 0.4 kg costs 5 crore

1 kg `=5/0.4=50/4=12.5` crore

As the cost of a ruby is more 

`∴` we should pick more ruby than emerald.

12 kg contains Ruby `=120/3=40`.