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You have reached Utopia where you find tow kinds of precious stones, rubies and emeralds. The worth of a ruby and that of an emerald are Rs. $4$ crores and Rs. $5$ crores respectively while their weights are $0.3$ kg and $0.4$ kg respectively. You have a bag that can carry a maximum of $12$ kgs. How many rubies and emeralds would you carry such that their total value is maximised?

  1. $20$ rubies and $15$ emeralds
  2. $8$ rubies and $24$ emeralds
  3. $0$ rubies and $30$ emeralds
  4. None of the above
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