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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 |
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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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