Question : A person marks an article 36% above the cost price and offers a 30% discount on the marked price. What is the loss or gain percentage?
Option 1: Loss 6.5%
Option 2: Loss 4.8%
Option 3: Gain 8.5%
Option 4: Gain 7.2%
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Correct Answer: Loss 4.8%
Solution : Let the cost price be 100. Marked price above 36% = 100 + 36 = 136 Discount = 30% Selling price = $\frac{100-\text{discount %}}{100}\times$ marked price = $\frac{100-30}{100}\times136$ = $\frac{70}{100}\times136$ = $95.2$ Loss = Cost price – selling price = 100 – 95.2 = 4.8 Loss percentage $=\frac{\text{Loss}}{\text{Cost price}}\times100=\frac{4.8}{100}\times100= 4.8\%$ Hence, the correct answer is a loss of 4.8%.
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Question : A dealer marks his goods at 20% above the cost price and allows a discount of 15% on the marked price. What is his gain or loss percentage?
Question : A trader gains 25% by selling an article with a 20% discount on its marked price. If the cost price of the article increases by 30%, then how much discount (in %) should he offer on the same marked price to gain 15% of profit?
Question : A dealer is selling an article at a discount of 5% on the marked price. If the marked price is 12% above the cost price and the article was sold for Rs. 532, then the cost price is (in Rs.):
Question : A dealer marks his goods at 40% above the cost price. He sells 60% of the goods at the marked price by giving a 10% discount and the rest by giving a 50% discount on the marked price. What is his overall profit or loss percentage?
Question : A dealer gains 20% by selling an article at 25% discount on its marked price. If the cost price of the article is decreased by 15%, how much discount percentage should he now give on the same marked price so as to earn the same percentage of profit as before?
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