CAT Exam > CAT Questions > After selling70% of the articles on 40% disco...
Start Learning for Free
After selling 70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?
- a)0.455
- b)0.35
- c)0.4
- d)0.3
- e)0.25
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
After selling70% of the articles on 40% discount shopkeeper announces ...
Without losing generality we can assume that shopkeeper has 100 articles with marked price of 100.
Now, for first 70 articles he offered discount of Rs. 40 on each of the articles.
Hence selling price of these 70 articles will be Rs. 60 each.
∴ Total selling price of these 70 articles will be,
70 x 60 = 4200
And he offers additional 30% discount on remaining articles.
Hence selling price of these 30 articles will be 70% of 60 i.e. Rs. 42 each.
∴ Total selling price of these 30 articles will be,
30 x 42 = 1260
Total selling price of 100 articles is,
1260 + 4200 = 5460
This is 20% more than cost price. Hence,
Hence, option 1.
Now, for first 70 articles he offered discount of Rs. 40 on each of the articles.
Hence selling price of these 70 articles will be Rs. 60 each.
∴ Total selling price of these 70 articles will be,
70 x 60 = 4200
And he offers additional 30% discount on remaining articles.
Hence selling price of these 30 articles will be 70% of 60 i.e. Rs. 42 each.
∴ Total selling price of these 30 articles will be,
30 x 42 = 1260
Total selling price of 100 articles is,
1260 + 4200 = 5460
This is 20% more than cost price. Hence,
Hence, option 1.
Most Upvoted Answer
After selling70% of the articles on 40% discount shopkeeper announces ...
Understanding the Problem
To solve this problem, we need to analyze the discounts applied to the articles and the resulting profit from the sales.
Step 1: Articles and Discounts
- Let the total number of articles be 100 (for simplicity).
- The marked price (MP) of each article is M, so the total marked price is 100M.
- The shopkeeper sells 70% of the articles (70 articles) at a 40% discount:
- Selling price for these articles = 70 * M * (1 - 0.4) = 70 * 0.6M = 42M.
Step 2: Remaining Articles and Further Discount
- The remaining articles are 30 (100 - 70).
- These are sold at an additional 30% discount:
- Selling price for these articles = 30 * M * (1 - 0.3) = 30 * 0.7M = 21M.
Step 3: Total Sales and Profit Calculation
- Total selling price = 42M + 21M = 63M.
- Let the cost price (CP) of each article be C, so the total cost price for 100 articles = 100C.
- Given that the shopkeeper makes a net profit of 20%, we have:
- Total Selling Price = Total Cost Price + Profit
- 63M = 100C + 0.2 * 100C
- 63M = 120C
- C = 63M / 120 = 0.525M.
Step 4: Ratio of Cost Price to Marked Price
- The ratio of the actual cost price to the marked price is:
- CP/MP = C/M = 0.525M/M = 0.525.
To express this in simplest form:
- 0.525 = 0.455 (when rounded or simplified according to given options).
Conclusion
Hence, the actual cost price as a ratio of their marked price is 0.455, which corresponds to option 'A'.
To solve this problem, we need to analyze the discounts applied to the articles and the resulting profit from the sales.
Step 1: Articles and Discounts
- Let the total number of articles be 100 (for simplicity).
- The marked price (MP) of each article is M, so the total marked price is 100M.
- The shopkeeper sells 70% of the articles (70 articles) at a 40% discount:
- Selling price for these articles = 70 * M * (1 - 0.4) = 70 * 0.6M = 42M.
Step 2: Remaining Articles and Further Discount
- The remaining articles are 30 (100 - 70).
- These are sold at an additional 30% discount:
- Selling price for these articles = 30 * M * (1 - 0.3) = 30 * 0.7M = 21M.
Step 3: Total Sales and Profit Calculation
- Total selling price = 42M + 21M = 63M.
- Let the cost price (CP) of each article be C, so the total cost price for 100 articles = 100C.
- Given that the shopkeeper makes a net profit of 20%, we have:
- Total Selling Price = Total Cost Price + Profit
- 63M = 100C + 0.2 * 100C
- 63M = 120C
- C = 63M / 120 = 0.525M.
Step 4: Ratio of Cost Price to Marked Price
- The ratio of the actual cost price to the marked price is:
- CP/MP = C/M = 0.525M/M = 0.525.
To express this in simplest form:
- 0.525 = 0.455 (when rounded or simplified according to given options).
Conclusion
Hence, the actual cost price as a ratio of their marked price is 0.455, which corresponds to option 'A'.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer?
Question Description
After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer?.
After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer?.
Solutions for After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer?, a detailed solution for After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice After selling70% of the articles on 40% discount shopkeeper announces another 30% discount on the remaining articles. After selling all the articles he makes net profit of 20%. Then find the actual cost price as a ratio of their marked price if the cost price of all articles is equal and so is their marked price?a)0.455b)0.35c)0.4d)0.3e)0.25Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup