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: $8$%
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Correct Answer: $12$%
Solution : Let the cost price be 100. The marked price is 40% above the cost price = 140 Discount = 20% $\text{Selling price} = \frac{100-\text{Discount}}{100}\times \text{marked price}$ ⇒ $\text{Selling price} = \frac{100-20}{100}\times 140= \frac{80}{100}\times 140=112$ $\therefore$ Profit = Selling price – cost price = 112 – 100 = 12 So, the profit percentage $=\frac{\text{Profit}}{\text{Cost price}}\times 100=\frac{12}{100}\times 100 = 12$% Hence, the correct answer is $12$%.
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Question : The marked price of the cupboard is INR 15,750, which is 50% above its cost price. It is sold at a discount of 40%. What is the profit/loss percentage?
Option 1: Profit, 10%
Option 2: Loss, 10%
Option 3: Loss, 20%
Option 4: Profit, 20%
Question : A shopkeeper fixes the price of an article at 30% higher than its actual cost. If he sells at a 10% discount on the marked price then the profit is:
Option 1: 18%
Option 2: 19%
Option 3: 17%
Option 4: 20%
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 : The marked price of an article is 150 percent of the cost price. If a 20 percent discount is given, then what will be the profit percentage?
Option 1: 20 percent
Option 2: 12.5 percent
Option 3: 25 percent
Option 4: 10 percent
Question : The marked price of an item is 25% more than that of its cost price. If a discount of 10% is given on the marked price, then the gain percentage is:
Option 1: $10 \frac{1}{2}$%
Option 2: $9 \frac{1}{2}$%
Option 3: $13 \frac{1}{2}$%
Option 4: $12 \frac{1}{2}$%
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