A bakery bakes cake with the expectation that it will earna profit of $40 \%$ by selling each cake at marked price. But during the delivery to showroom $16 \%$ of the cakes were completely damaged and hence could not be sold. $24 \%$ of the cakes were slightly damaged and hence could be sold at $80 \%$ of the cost price. The remaining $60 \%$ of the cakes were sold at marked price. What is the percentage profit in the whole consignment?

  • A

    $3.2$

  • B

    $2.4$

  • C

    $2.8$

  • D

    $4.2$

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