Question
The ratio of the cost price to the marked price of an
article is 3:5 and the ratio of the profit percentage to the discount percentage is 5:2. Find the profit percentage.Solution
CP:MP = 3x:5x Profit = MP – CP = 5x – 3x = 2x Profit% : Discount% = 5:2 Let CP = 300 and SP = (3x + 2x = 5x) = 500 According to question, => (5x/100) × 300 + (2x/100) × 500 => 15x + 10x = 25x => 25x ----100 => x = 4% Profit % = 5 × 4% = 20%
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