$A$ person has $60$ pens. He sells some of these at a profit of $12 \%$ and the rest at $8 \%$ loss. On the whole,he gets a profit of $11 \%$. How many pens were sold at $12 \%$ profit and how many at $8 \%$ loss?

• A
  $57$ pens at $12 \%$ profit and $3$ pens at $8 \%$ loss
• B
  $58$ pens at $12 \%$ profit and $2$ pens at $8 \%$ loss
• C
  $55$ pens at $12 \%$ profit and $5$ pens at $8 \%$ loss
• D
  $50$ pens at $12 \%$ profit and $10$ pens at $8 \%$ loss