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
ATQ,
CP:MP = 1:4 ⇒ CP = 100, MP = 400 Profit% : Discount% = 4:1 ⇒ Profit% = 4x, Discount% = x 100(1 + 4x/100) = 400(1 – x/100) 1 + 0.04x = 4 – 0.04x 0.08x = 3 ⇒ x = 37.5 Profit% = 4x = 150%Â
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