Question
The ratio of the cost price to the marked price of an
article is 2:5 and the ratio of the profit percentage to the discount percentage is 5:3. Find the profit percentage.Solution
CP:MP = 2x:5x Profit = MP – CP = 5x – 2x = 3x Profit% : Discount% = 5:3 Let CP = 200 and SP = (2x + 5x = 5x) = 500 According to question, => (5x/100) × 200 + (3x/100) × 500 => 10x + 15x = 25x => 25x ----100 => x = 4% Profit % = 5 × 4% = 20%
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