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Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.
At what price did Anju purchase the watch, which she sold to Ankush?
I. Anju sold her watch to Ankush at 20% profit.
II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.
III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.
- a)Only statements I and II
- b)Only statements I and III
- c)Only statements II and III
- d)Only statements I and II or statements I and III
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Directions: In this problem, a question is followed by statements mar...
No statement alone makes a link between all three cost prices.
Using statements I and II:
Let the cost price for Anju be X.
Cost price for Ankush = 1.2X
Cost price for Ritika = 1.08X
1.08X – X = 12
0.08X = 12
X = 150
Using statements I and III:
Let the cost price for Anju be X.
Thus,
1.3X – 1.2X = 15
0.1X = 15
X = 150
Using statements II and III:
Here we do not know the actual price at which Anju sold the watch to Ankush, so we cannot get the right answer.
Only statements I and II or statements I and III are sufficient.
Why Incorrect?
Solution: This is an incorrect answer.
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Directions: In this problem, a question is followed by statements mar...
Understanding the Problem
To determine the price at which Anju purchased the watch, we need to analyze the provided statements.
Statement Analysis
- Statement I: Anju sold her watch to Ankush at a 20% profit.
This gives us a relationship between the cost price (CP) of the watch for Anju and the selling price (SP) to Ankush. If we denote Anju's cost price as CP, then:
- SP (Anju to Ankush) = CP + 0.2 * CP = 1.2 * CP.
- Statement II: Ankush sold the watch to Ritika at a 10% loss, who paid Rs. 12 more than Anju did.
This statement involves Ankush's selling price to Ritika. If Ankush's selling price is SP_A, then:
- SP_A = 1.2 * CP (from Statement I).
- SP (Ankush to Ritika) = SP_A - 0.1 * SP_A = 0.9 * SP_A = 0.9 * (1.2 * CP) = 1.08 * CP.
- Given that Ritika paid Rs. 12 more, we can form the equation: 1.08 * CP = 1.2 * CP + 12.
- Statement III: Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.
This indicates the maximum profit Anju could have earned, allowing us to derive another equation. Selling price with 30% profit = CP + 0.3 * CP = 1.3 * CP. The difference indicates:
- 1.3 * CP - 1.2 * CP = 15, leading to 0.1 * CP = 15, thus CP = 150.
Conclusion
Both Statements I and II or I and III are sufficient to find the cost price of Anju's watch. Therefore, the correct answer is option 'D'.
To determine the price at which Anju purchased the watch, we need to analyze the provided statements.
Statement Analysis
- Statement I: Anju sold her watch to Ankush at a 20% profit.
This gives us a relationship between the cost price (CP) of the watch for Anju and the selling price (SP) to Ankush. If we denote Anju's cost price as CP, then:
- SP (Anju to Ankush) = CP + 0.2 * CP = 1.2 * CP.
- Statement II: Ankush sold the watch to Ritika at a 10% loss, who paid Rs. 12 more than Anju did.
This statement involves Ankush's selling price to Ritika. If Ankush's selling price is SP_A, then:
- SP_A = 1.2 * CP (from Statement I).
- SP (Ankush to Ritika) = SP_A - 0.1 * SP_A = 0.9 * SP_A = 0.9 * (1.2 * CP) = 1.08 * CP.
- Given that Ritika paid Rs. 12 more, we can form the equation: 1.08 * CP = 1.2 * CP + 12.
- Statement III: Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.
This indicates the maximum profit Anju could have earned, allowing us to derive another equation. Selling price with 30% profit = CP + 0.3 * CP = 1.3 * CP. The difference indicates:
- 1.3 * CP - 1.2 * CP = 15, leading to 0.1 * CP = 15, thus CP = 150.
Conclusion
Both Statements I and II or I and III are sufficient to find the cost price of Anju's watch. Therefore, the correct answer is option 'D'.
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Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer?
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Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer?.
Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question.At what price did Anju purchase the watch, which she sold to Ankush?I. Anju sold her watch to Ankush at 20% profit.II. Ankush sold the watch to Ritika at 10% loss, who paid Rs. 12 more than Anju did for buying that watch.III. Anju could have gained Rs. 15 more if she had sold it at a profit of 30%.a)Only statements I and IIb)Only statements I and IIIc)Only statements II and IIId)Only statements I and II or statements I and IIICorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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