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?
Option 1: 32.50%
Option 2: 35%
Option 3: 36.25%
Option 4: 37.75%
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Correct Answer: 36.25%
Solution : Let the cost price of the article be $100x$. Selling price = $100x × \frac{6}{5} = 120x $ Marked price = $120x × \frac{4}{3} = 160x $ New cost price = $100x × \frac{85}{100} = 85x $ New selling price = $85x × \frac{6}{5} = 102x$ Let the discount percentage be $a\%$. Now, $102x = 160x × \frac{(100 - a)}{100}$ ⇒ $10200x = 16000x - 160ax$ ⇒ $160ax = 5800x$ ⇒ $a = \frac{5800x}{160x}$ ⇒ $a = 36.25$ Hence, the correct answer is 36.25%.
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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?
Option 1: 4.32%
Option 2: 5.08%
Option 3: 5.12%
Option 4: 4.87%
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.):
Option 1: 500
Option 2: 525
Option 3: 505
Option 4: 520
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?
Option 1: Loss 2.8%
Option 2: Profit 2.8%
Option 3: Profit 3.6%
Option 4: Loss 3.6%
Question : The marked price of an article is 20% more than its cost price. What is the profit percent if a 5% discount is given on the marked price?
Option 1: 5
Option 2: 14
Option 3: 15
Option 4: 25
Question : The percentage profit earned by selling an article for Rs. 2,000 is the same as the percentage loss incurred by selling the same article for Rs. 1,200. At what price should that article be sold to make a profit of 20%?
Option 1: 2,000
Option 2: 1,800
Option 3: 1,920
Option 4: 1,840
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