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A shopkeeper offers 10% discount on an article and still makes a profit of 20% what is the cost price of the article marked at Rs. 500?
- a)Rs 440
- b)Rs 425
- c)Rs 400
- d)Rs 375
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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A shopkeeper offers 10% discount on an article and still makes a profi...
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A shopkeeper offers 10% discount on an article and still makes a profi...
Given:
- The shopkeeper offers a 10% discount on the article.
- The shopkeeper still makes a profit of 20% after offering the discount.
- The marked price of the article is Rs. 500.
To Find:
The cost price of the article.
Assumption:
Let's assume the cost price of the article is 'C'.
Solution:
Step 1: Calculate the Selling Price (SP) of the article after the 10% discount.
- The discount offered by the shopkeeper is 10% of the marked price.
- So, the discount amount is 10/100 * 500 = Rs. 50.
- The selling price after the discount is Rs. 500 - Rs. 50 = Rs. 450.
Step 2: Calculate the Profit Percentage.
- The profit percentage is given as 20%.
- We know that Profit Percentage = (Profit / Cost Price) * 100.
- Substituting the given values, 20 = (Profit / C) * 100.
- Solving this equation, we get Profit = (20/100) * C = 0.2C.
Step 3: Calculate the Cost Price (C).
- We know that Selling Price = Cost Price + Profit.
- Substituting the given values, Rs. 450 = C + 0.2C.
- Simplifying this equation, we get 1.2C = 450.
- Dividing both sides by 1.2, we get C = 450 / 1.2 = Rs. 375.
Answer:
The cost price of the article marked at Rs. 500 is Rs. 375. Therefore, option D is the correct answer.
- The shopkeeper offers a 10% discount on the article.
- The shopkeeper still makes a profit of 20% after offering the discount.
- The marked price of the article is Rs. 500.
To Find:
The cost price of the article.
Assumption:
Let's assume the cost price of the article is 'C'.
Solution:
Step 1: Calculate the Selling Price (SP) of the article after the 10% discount.
- The discount offered by the shopkeeper is 10% of the marked price.
- So, the discount amount is 10/100 * 500 = Rs. 50.
- The selling price after the discount is Rs. 500 - Rs. 50 = Rs. 450.
Step 2: Calculate the Profit Percentage.
- The profit percentage is given as 20%.
- We know that Profit Percentage = (Profit / Cost Price) * 100.
- Substituting the given values, 20 = (Profit / C) * 100.
- Solving this equation, we get Profit = (20/100) * C = 0.2C.
Step 3: Calculate the Cost Price (C).
- We know that Selling Price = Cost Price + Profit.
- Substituting the given values, Rs. 450 = C + 0.2C.
- Simplifying this equation, we get 1.2C = 450.
- Dividing both sides by 1.2, we get C = 450 / 1.2 = Rs. 375.
Answer:
The cost price of the article marked at Rs. 500 is Rs. 375. Therefore, option D is the correct answer.
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A shopkeeper offers 10% discount on an article and still makes a profit of 20% what is the cost price of the article marked at Rs. 500?a)Rs 440b)Rs 425c)Rs 400d)Rs 375e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A shopkeeper offers 10% discount on an article and still makes a profit of 20% what is the cost price of the article marked at Rs. 500?a)Rs 440b)Rs 425c)Rs 400d)Rs 375e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A shopkeeper offers 10% discount on an article and still makes a profit of 20% what is the cost price of the article marked at Rs. 500?a)Rs 440b)Rs 425c)Rs 400d)Rs 375e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper offers 10% discount on an article and still makes a profit of 20% what is the cost price of the article marked at Rs. 500?a)Rs 440b)Rs 425c)Rs 400d)Rs 375e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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