Question : The cost price of an article is 72% of the marked price. The profit percentage after allowing a discount of 6% on the marked price is (rounded off to 2 decimal places):
Option 1: 32.50%
Option 2: 28.23%
Option 3: 30.56%
Option 4: 35.65%
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Correct Answer: 30.56%
Solution : Let the marked price be $100x$. Cost price $= \frac{72}{100} \times 100x = 72x$ Selling price after a discount of 6% $= 100x - \frac{6}{100} \times 100x = 94x$ Profit $= 94x - 72x = 22x$ Profit % $= \frac{22x}{72x} \times 100 = 30.56$% Hence, the correct answer is 30.56%.
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Question : The marked price of an article is $40$% more than its cost price. If a $20$% discount is given on the marked price, then what will be the profit percentage?
Option 1: $15$%
Option 2: $12$%
Option 3: $10$%
Option 4: $8$%
Question : A dealer offers a discount of 10% on the marked price of an article and still makes a profit of 20%. If the cost price of the article is INR 540, then find the marked price (in INR) of the article.
Option 1: 810
Option 2: 750
Option 3: 720
Option 4: 690
Question : After allowing a discount of 12.5% on the marked price, an article is sold for INR 2,625. Find its marked price.
Option 1: INR 2,975
Option 2: INR 2,900
Option 3: INR 2,950
Option 4: INR 3,000
Question : The marked price of 85 items was equal to the cost price of 153 items. The selling price of 104 items was equal to the marked price of 65 items. Calculate the percentage profit or loss from the sale of each item.
Option 1: 12.5% loss
Option 2: 12.5% profit
Option 3: 15% profit
Option 4: 12.25% profit
Question : Manoj sold an article at a marked price of Rs. 13,000. Had he offered a discount of 10% on the marked price he would have earned a profit of 30%. What is the cost price?
Option 1: Rs. 10,000
Option 2: Rs. 9,900
Option 3: Rs. 9,000
Option 4: Rs. 11,000
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