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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