Question
Priya bought a dress at a 50% discount on its MRP and
claims to sell it at a profit of 25% of the MRP. When Anjali offered her a Rs. 2500 banknote, Priya cheated by giving her Rs. 1500 instead of Rs. 900 as change. Find Priya's overall profit percentage.Solution
Anjali gave Rs. 2500, and Priya had to actually give Rs. 900 as change. Thus, Priya sold it for Rs. 2500 – 900 = Rs. 1600. Let MRP = 100y. Profit at 25% on MRP means SP = 125y. 125y = 1600 y = 12.8 ∴ MRP = Rs. 1280 CP for Priya = 50% of 1280 = Rs. 640. Priya got Rs. (2500 – 1500) = Rs. 1000 from Anjali. Hence, Profit % = ( 1000−640)/640 ×100 = 56.25%
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