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(A) Let the total number of cakes be $100$.Let the cost price $(CP)$ of each cake be $₹ 100$.Total $CP = 100 	imes 100 = ₹ 10000$.Since the expected

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(A) Let the total number of cakes be $100$.Let the cost price $(CP)$ of each cake be $₹ 100$.Total $CP = 100 	imes 100 = ₹ 10000$.Since the expected profit is $40 \%$, the marked price $(MP)$ of each cake $= 100 + 40 = ₹ 140$.Cakes damaged completely ($16 \%$ of $100$) $= 16$ cakes. Selling price $(SP)$ $= ₹ 0$.Cakes slightly damaged ($24 \%$ of $100$) $= 24$ cakes. $SP$ per cake $= 80 \%$ of $CP = 0.80 	imes 100 = ₹ 80$.Total $SP$ for slightly damaged cakes $= 24 	imes 80 = ₹ 1920$.Remaining cakes ($60 \%$ of $100$) $= 60$ cakes. $SP$ per cake $= MP = ₹ 140$.Total $SP$ for remaining cakes $= 60 	imes 140 = ₹ 8400$.Total $SP = 0 + 1920 + 8400 = ₹ 10320$.Total Profit $= SP - CP = 10320 - 10000 = ₹ 320$.Profit percentage $= (	ext{Profit} / 	ext{Total } CP) 	imes 100 = (320 / 10000) 	imes 100 = 3.2 \%$.

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