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A shopkeeper labelled the price on his articles in such a manner so as to earn a profit of 30% on the cost price. He, then sold the articles by offering a discount of 10% on the labelled price. What is the actual profit percentage earned by him?
- a)18%
- b)15%
- c)20%
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A shopkeeper labelled the price on his articles in such a manner so as...
Let the cost price of the articles be Rs. 100.
Shopkeeper labeled the price 30% higher than the cost price.
So, Marked price = 100 + 30% of 100 = 100 + 30 = Rs. 130
After giving a discount of 10%, the selling price of the articles = 0.9 × 130 = Rs. 117
So, actual profit percent = [(117 - 100)/100] × 100 = 17%
Hence, option (d) is correct.
Shopkeeper labeled the price 30% higher than the cost price.
So, Marked price = 100 + 30% of 100 = 100 + 30 = Rs. 130
After giving a discount of 10%, the selling price of the articles = 0.9 × 130 = Rs. 117
So, actual profit percent = [(117 - 100)/100] × 100 = 17%
Hence, option (d) is correct.
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A shopkeeper labelled the price on his articles in such a manner so as...
Given Information:
The shopkeeper labels the price on his articles to earn a profit of 30% on the cost price. He then sells the articles by offering a discount of 10% on the labelled price.
Calculating the Selling Price:
Let the cost price of the article be Rs. 100.
Profit earned = 30% of Cost Price = 30% of 100 = Rs. 30
Selling Price = Cost Price + Profit = 100 + 30 = Rs. 130
Calculating the Selling Price after offering a discount:
Discount offered = 10% of Labelled Price = 10% of 130 = Rs. 13
Selling Price after discount = Labelled Price - Discount = 130 - 13 = Rs. 117
Calculating the Actual Profit Percentage:
Actual Profit = Selling Price after discount - Cost Price = 117 - 100 = Rs. 17
Actual Profit Percentage = (Actual Profit / Cost Price) * 100 = (17 / 100) * 100 = 17%
Therefore, the actual profit percentage earned by the shopkeeper is 17%, which is not provided as an option. Hence, the correct answer is None of these (Option D).
The shopkeeper labels the price on his articles to earn a profit of 30% on the cost price. He then sells the articles by offering a discount of 10% on the labelled price.
Calculating the Selling Price:
Let the cost price of the article be Rs. 100.
Profit earned = 30% of Cost Price = 30% of 100 = Rs. 30
Selling Price = Cost Price + Profit = 100 + 30 = Rs. 130
Calculating the Selling Price after offering a discount:
Discount offered = 10% of Labelled Price = 10% of 130 = Rs. 13
Selling Price after discount = Labelled Price - Discount = 130 - 13 = Rs. 117
Calculating the Actual Profit Percentage:
Actual Profit = Selling Price after discount - Cost Price = 117 - 100 = Rs. 17
Actual Profit Percentage = (Actual Profit / Cost Price) * 100 = (17 / 100) * 100 = 17%
Therefore, the actual profit percentage earned by the shopkeeper is 17%, which is not provided as an option. Hence, the correct answer is None of these (Option D).
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A shopkeeper labelled the price on his articles in such a manner so as to earn a profit of 30% on the cost price. He, then sold the articles by offering a discount of 10% on the labelled price. What is the actual profit percentage earned by him?a)18%b)15%c)20%d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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