Question : A dealer offers a cash discount of 20% and still makes a profit of 20%. If he further sells 8 articles at a rate of 6 articles, then how much percentage above the cost price does he mark on each article?
Option 1: 77.5%
Option 2: 100%
Option 3: 112.5%
Option 4: 87.5%
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Correct Answer: 100%
Solution : Let the mark price be denoted as MP, the cost price as CP and the selling price as SP. Let the marked price of each article be $100x$. SP of each article = $80x$ According to the question, He is selling 8 articles at a rate of 6 articles. SP of 8 articles = $80x \times 6 = 480x$ Now, CP of 8 articles = $480x\times \frac{100}{120} = 400x$ CP of 1 article = $\frac{400x}{8} = 50x$ $\therefore$ Percent above the cost price = $\frac{100x - 50x}{50x} \times 100$ = 100% Hence, the correct answer is 100%.
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Question : A dealer marks his goods 20% above their cost prices. Then he allows such a discount on the marked price that he makes a profit of 8%. The rate of discount is:
Option 1: 12%
Option 2: 10%
Option 3: 6%
Option 4: 4%
Question : A manufacturer sells an article to a wholesale dealer at a profit of 10%. The wholesale dealer sells it to a shopkeeper at 20% profit. The shopkeeper sells it to a customer for Rs. 56,100 at a loss of 15%. Then the cost price of the article to the manufacturer is:
Option 1: Rs. 25,000
Option 2: Rs. 10,000
Option 3: Rs. 50,000
Option 4: Rs. 55,000
Question : A dishonest dealer sells articles at a 15% loss on cost price but uses the weight of 20 g instead of 25 g. What is his profit or loss percentage?
Option 1: 6.25% Profit
Option 2: 6.50% Profit
Option 3: 7.55% Loss
Option 4: 5.25% Loss
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%
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%
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