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Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:
P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?
I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.
II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.
III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.
- a)All I, II and III
- b)Both I and II
- c)Either I and III or II and III
- d)Both I and III
- e)None are sufficient.
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Each of the questions below consists of a question and three statemen...
From I and III
Capital investment of Q = (15000 x 12) = ₹180000
Let initial capital of P be (Y x 4) + (Y x 120/100 x 4) = 8.8Y
Let initial investment of R = (Y x 125/100) = 1.25Y
Total investment of R = (4 x 1.25Y) + (4 x Y) = 9Y
Total investment of P, Q and R = (180000 + 8.8Y + 9Y) = 393600
17.8Y = 213600
Y = 12000
Thus, total investment of P = (8.8 x 12000) = 105600
Total investment of R = (9 x 12000) = 108000
Ratio of investment of P, Q, R = 44:75:45
Let total profit be K
Then,
K x 44/164 = 63800
K = (63800 x 164/44) = 237800
Required difference of profit = 237800 x 30/164 = ₹43500
Hence, statements I and III together are sufficient.
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Community Answer
Each of the questions below consists of a question and three statemen...
Understanding the Problem
To find the profit difference between Q and R after 12 months, we need to analyze the information provided in the statements.
Statement I Analysis
- Q starts with ₹15000.
- P and R join after 4 months.
- P increases his capital by 20% at the end of 4 months.
- R's initial capital is 25% more than P's capital.
From this statement, we can derive the initial investment of P and R, but we still need more information on how profits are distributed.
Statement II Analysis
- P withdraws 20% of his initial capital after 8 months.
- R increases his capital by 20% after 4 months.
- R claims a profit of ₹197200.
This statement provides insight into the changes in capital and a total profit figure, but it doesn't clarify how much profit each partner earns individually.
Statement III Analysis
- R joins with P, and P increases his capital by 20% after 4 months.
- R reduces his capital by 20% after 4 months.
- P claims a total profit of ₹63800.
This statement gives us P's claim but doesn't provide information on Q’s share or how profits are distributed among all three partners.
Combining Statements
- Statements I and II: Together, they provide the total profit and some changes in capital but not enough to directly calculate Q's and R's individual profits.
- Statements I and III: These reveal capital changes and P's profit but lack information about Q’s earnings.
- Statements II and III: Neither offers sufficient data to differentiate between Q's and R's profits.
Conclusion
Thus, both combinations of statements (I & II, I & III, II & III) do not provide enough information to calculate the profit difference between Q and R. Therefore, the correct answer is option 'D': Both I and III.
To find the profit difference between Q and R after 12 months, we need to analyze the information provided in the statements.
Statement I Analysis
- Q starts with ₹15000.
- P and R join after 4 months.
- P increases his capital by 20% at the end of 4 months.
- R's initial capital is 25% more than P's capital.
From this statement, we can derive the initial investment of P and R, but we still need more information on how profits are distributed.
Statement II Analysis
- P withdraws 20% of his initial capital after 8 months.
- R increases his capital by 20% after 4 months.
- R claims a profit of ₹197200.
This statement provides insight into the changes in capital and a total profit figure, but it doesn't clarify how much profit each partner earns individually.
Statement III Analysis
- R joins with P, and P increases his capital by 20% after 4 months.
- R reduces his capital by 20% after 4 months.
- P claims a total profit of ₹63800.
This statement gives us P's claim but doesn't provide information on Q’s share or how profits are distributed among all three partners.
Combining Statements
- Statements I and II: Together, they provide the total profit and some changes in capital but not enough to directly calculate Q's and R's individual profits.
- Statements I and III: These reveal capital changes and P's profit but lack information about Q’s earnings.
- Statements II and III: Neither offers sufficient data to differentiate between Q's and R's profits.
Conclusion
Thus, both combinations of statements (I & II, I & III, II & III) do not provide enough information to calculate the profit difference between Q and R. Therefore, the correct answer is option 'D': Both I and III.
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Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer?
Question Description
Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. 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 Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer?.
Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. 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 Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer?.
Solutions for Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct 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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Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in the statements are sufficient to answer the question:P, Q and R starts a business then what is difference of profit earned by Q to R at the end of 12 months?I. Q starts the business with an initial capital of ₹15000 and P and R joins at the end of 4 month such that P increases his capital by 20% at the end of 4 months and initial capital of R is 25% more than P.II. P withdraw 20% of his initial capital at the end of eight month and R increase his capital by 20% at the end of four month and claims a profit of ₹197200.III. R joins the business with P and P increase his capital share by 20% at the end of 4 month and R reduces his capital by 20% at the end of 4 month and P claims a total profit of ₹63800. Total investment of P, Q and R taken together is ₹393600.a)All I, II and IIIb)Both I and IIc)Either I and III or II and IIId)Both I and IIIe)None are sufficient.Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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