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Answer the questions based on the information given below:

Purana and Naya are two brands of kitchen mixer-grinders available in the local market. Purana was an old brand that was introduced in $1990,$ while Naya was introduced in $1997.$ For both these brands, $20\%$ of the mixer grinders bought in a particular year are disposed of as junk exactly two years later. It is known that $10$ Purana mixer-grinders were disposed off in $1997.$ The following figure shows the number of Purana and Naya mixer-grinders in operation from $1995$ to $2000,$ as at the end of the year.

 

How many Naya mixer-grinders were purchased in $1999?$

  1. $45$
  2. $50$
  3. $55$
  4. $64$
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