Question 136
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
Solution
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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