Question
The ratio of the cost price to the marked price of an
article is 2:3 and the ratio of the profit percentage to the discount percentage is 3:1. Find the profit percentage.Solution
CP:MP = 2x:3x Profit = MP – CP = 3x – 2x = x Profit% : Discount% = 3:1 Let CP = 200 and SP = (2x + x = 3x) = 300 According to question, => (3x/100) × 200 + (x/100) × 300 => 6x + 3x = 9x => 9x ----100 => x = 11.11% Profit % = 3 × 11.11% = 33.33%
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