If the discount is equal to one fifth of the marked price and the loss is half the discount, then the percentage of loss is
Let Marked price = $$100x$$
Discount = $$\frac{1}{5} * 100x = 20x$$
=> S.P.= $$100x - 20x = 80x$$
Loss = $$\frac{1}{2} * 20x = 10x$$
=> C.P. = $$80x + 10x = 90x$$
=> Loss % = $$\frac{10x}{90x}$$ * 100
= $$\frac{100}{9}$$ = 11$$\frac{1}{9}$$%
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