Question
The ratio of the cost price to the marked price of an
article is 1:4 and the ratio of the profit percentage to the discount percentage is 4:1. Find the profit percentage.Solution
CP:MP = x:4x Profit = MP – CP = 4x – x = 3x Profit% : Discount% = 4:1 Let CP = 100 and SP = (x + 3x = 4x) = 400 According to question, => (4x/100) × 100 + (x/100) × 400 => 4x + 4x = 8x => 8x ----100 => x = 12.5% Profit % = 4 × 12.5% = 50%
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