1.

After giving a discount of 33.33%, there is a loss of 11.111%. If only 10% discount is given, then what will be the profit percentage?1). 242). 203). 274). 25

Answer»

Let the marked price (M.P) = x

After discount of 33.33%

Selling price = S.P = (1 - 0.3333) × x = 0.6667x

Loss percentage = (loss/C.P) × 100 = {(C.P - S.P)/C.P} × 100

Loss% = 11.111%

⇒ (C.P - 0.6667x)/C.P} × 100 = 11.111

⇒ 1 - 0.6667x/C.P = 0.11111

⇒ 0.6667x/C.P = 0.88889

⇒ C.P = 0.6667x/0.88889 = 0.75x

When only 10% discount was given

S.P = (1 - 0.1) × x = 0.9x

PROFIT = S.P = C.P = 0.9x - 0.75x = 0.15x

Profit% = (profit/C.P) × 100

⇒ profit % = (0.15x/0.75x) × 100 = 20%



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