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(A) Let the cost price $(C.P.)$ of the total stock be $100$ units.Marked price $(M.P.)$ $= 100 + 20\% 	ext{ of } 100 = 120$ units.He sold half the st

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(A) Let the cost price $(C.P.)$ of the total stock be $100$ units.Marked price $(M.P.)$ $= 100 + 20\% 	ext{ of } 100 = 120$ units.He sold half the stock ($50$ units) at the marked price:$S.P._1 = 50 	imes 1.2 = 60$ units.He sold one quarter ($25$ units) at a discount of $20\%$ on the marked price:$S.P._2 = 25 	imes (1.2 	imes 0.8) = 25 	imes 0.96 = 24$ units.He sold the rest ($25$ units) at a discount of $40\%$ on the marked price:$S.P._3 = 25 	imes (1.2 	imes 0.6) = 25 	imes 0.72 = 18$ units.Total Selling Price $(S.P.)$ $= 60 + 24 + 18 = 102$ units.Total gain $= S.P. - C.P. = 102 - 100 = 2$ units.Therefore,the total gain percentage is $2\%$.

$A$ trader marked his goods at $20 \%$ above the cost price. He sold half the stock at the marked price,one quarter at a discount of $20 \%$ on the marked price,and the rest at a discount of $40 \%$ on the marked price. His total gain is.......$\%$

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