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A man buys $35 \; \text{kg}$ of sugar and sets a marked price in order to make a $20\%$ profit. He sells $5 \; \text{kg}$ at this price, and $15 \; \text{kg}$ at a $10\%$ discount. Accidentally, $3 \; \text{kg}$ of sugar is wasted. He sells the remaining sugar by raising the marked price by $p$ percent so as to make an overall profit of $15\%.$ Then $p$ is nearest to 

  1. $31$
  2. $22$
  3. $35$
  4. $25$
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