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A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount had been offered?
- a)28.5
- b)24.675
- c)30
- d)Data inadequate
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A shopkeeper sold an article offering a discount of 5% and earned a pr...
Giving no discount to customer implies selling the product on printed price. Suppose the cost price of the article is Rs. 100
Then, printed price
Then, printed price
= Rs. 130.
So the percentage of profit earned = 130 - 100 = 30
Most Upvoted Answer
A shopkeeper sold an article offering a discount of 5% and earned a pr...
To find the percentage of profit earned if no discount had been offered, we need to consider two scenarios:
1. Selling price after offering a 5% discount
2. Selling price without any discount
Let's assume the cost price of the article is Rs. 100 for easier calculations.
Scenario 1: Selling price after offering a 5% discount
- The selling price after offering a 5% discount would be 100 - 5% of 100 = 100 - 5 = Rs. 95
- Therefore, the profit earned in this scenario would be 95 - 100 = -5 (negative profit)
Scenario 2: Selling price without any discount
- Since the profit earned is 23.5%, the selling price in this scenario can be calculated using the formula:
Selling price = Cost price + Profit
Selling price = 100 + 23.5% of 100 = 100 + 23.5 = Rs. 123.5
- Therefore, the profit earned in this scenario would be 123.5 - 100 = 23.5
Now, let's calculate the percentage of profit earned if no discount had been offered:
- Percentage of profit = (Profit / Cost price) * 100
- Percentage of profit = (23.5 / 100) * 100 = 23.5%
Therefore, the percentage of profit earned if no discount had been offered is 23.5%.
Since none of the given options match this result, we can conclude that the given information is not sufficient to determine the exact percentage of profit earned if no discount had been offered. Hence, the correct answer is option D, "Data inadequate."
1. Selling price after offering a 5% discount
2. Selling price without any discount
Let's assume the cost price of the article is Rs. 100 for easier calculations.
Scenario 1: Selling price after offering a 5% discount
- The selling price after offering a 5% discount would be 100 - 5% of 100 = 100 - 5 = Rs. 95
- Therefore, the profit earned in this scenario would be 95 - 100 = -5 (negative profit)
Scenario 2: Selling price without any discount
- Since the profit earned is 23.5%, the selling price in this scenario can be calculated using the formula:
Selling price = Cost price + Profit
Selling price = 100 + 23.5% of 100 = 100 + 23.5 = Rs. 123.5
- Therefore, the profit earned in this scenario would be 123.5 - 100 = 23.5
Now, let's calculate the percentage of profit earned if no discount had been offered:
- Percentage of profit = (Profit / Cost price) * 100
- Percentage of profit = (23.5 / 100) * 100 = 23.5%
Therefore, the percentage of profit earned if no discount had been offered is 23.5%.
Since none of the given options match this result, we can conclude that the given information is not sufficient to determine the exact percentage of profit earned if no discount had been offered. Hence, the correct answer is option D, "Data inadequate."
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A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount had been offered?a)28.5b)24.675c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer?
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A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount had been offered?a)28.5b)24.675c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount had been offered?a)28.5b)24.675c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount had been offered?a)28.5b)24.675c)30d)Data inadequateCorrect answer is option 'C'. Can you explain this answer?.
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