Question
A dishonest dealer marks up his goods by 50% and then
gives a discount of 20% on the marked price. Apart from this, he uses a faulty balance which reads 1kg for 900 gm. What is his net profit percentage (rounded off to the nearest integer)?Solution
ATQ, Let original cost price of the goods be Rs. 100 He marked his goods at 50% above the cost price, ∴ Marked price of the goods = Rs. 150 He gives a discount of 20% on marked price, ∴ Selling Price = 150 × (80/100) = Rs. 120 ∵ He frauds for 1kg = 900gm let assume 1kg = 100% and 900gm = 90% so (100% - 90% = 10%) fraud by him ∴ Actual cost price = 100 - (10% of 100) = Rs.90 Profit = SP - CP = 120 - 90 = Rs.30 ∴ Profit percentage = (30/90)x 100 = 33.33% or 33%
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