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An item with a cost price of Rs.$1650$ is sold at a certain discount on a fixed marked price to earn a profit of $20 \%$ on the cost price. If the discount was doubled, the profit would have been Rs.$110$. The rate of discount, in percentage, at which the profit percentage would be equal to the rate of discount, is nearest to

  1. $16$
  2. $18$
  3. $14$
  4. $12$

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