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A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?
- a)Rs. 3000
- b)Rs. 2400
- c)Rs. 2000
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Understanding the Problem
To find the original price of the article, we need to work backward from the final price that Arun paid, which is Rs. 1200. The price reduction process includes two concessions: a 20% standard concession followed by an additional 25% concession on the reduced price.
Step-by-Step Calculation
1. Final Price Paid:
- Arun paid Rs. 1200 after both concessions.
2. Calculate Price Before the Additional Concession:
- Let the price before the 25% concession be P.
- The relationship is: P * (1 - 0.25) = 1200
- Therefore, P * 0.75 = 1200
- P = 1200 / 0.75
- P = Rs. 1600
3. Calculate Original Price:
- Now, P (Rs. 1600) is the price after the 20% concession.
- Let the original price be O.
- The relationship is: O * (1 - 0.20) = 1600
- Therefore, O * 0.80 = 1600
- O = 1600 / 0.80
- O = Rs. 2000
Conclusion
The original price of the article was Rs. 2000. Hence, the correct answer is option 'C'. This methodical approach uses the concept of reversing percentage discounts to find the original amount.
To find the original price of the article, we need to work backward from the final price that Arun paid, which is Rs. 1200. The price reduction process includes two concessions: a 20% standard concession followed by an additional 25% concession on the reduced price.
Step-by-Step Calculation
1. Final Price Paid:
- Arun paid Rs. 1200 after both concessions.
2. Calculate Price Before the Additional Concession:
- Let the price before the 25% concession be P.
- The relationship is: P * (1 - 0.25) = 1200
- Therefore, P * 0.75 = 1200
- P = 1200 / 0.75
- P = Rs. 1600
3. Calculate Original Price:
- Now, P (Rs. 1600) is the price after the 20% concession.
- Let the original price be O.
- The relationship is: O * (1 - 0.20) = 1600
- Therefore, O * 0.80 = 1600
- O = 1600 / 0.80
- O = Rs. 2000
Conclusion
The original price of the article was Rs. 2000. Hence, the correct answer is option 'C'. This methodical approach uses the concept of reversing percentage discounts to find the original amount.
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A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?a)Rs. 3000b)Rs. 2400c)Rs. 2000d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?a)Rs. 3000b)Rs. 2400c)Rs. 2000d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?a)Rs. 3000b)Rs. 2400c)Rs. 2000d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?a)Rs. 3000b)Rs. 2400c)Rs. 2000d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?a)Rs. 3000b)Rs. 2400c)Rs. 2000d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?a)Rs. 3000b)Rs. 2400c)Rs. 2000d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper gave an additional 25 per cent concession on the reduced price after giving 20 per cent standard concession on an article. If Arun bought that article for Rs.1200, what was the original price?a)Rs. 3000b)Rs. 2400c)Rs. 2000d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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