UPSC Exam > UPSC Questions > 'A', B' and 'C' started a business by investi...
Start Learning for Free
'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.
(A) 7Months
(B) 6Months
(C) 4Months
(D)10Months
(E) 8Months?
(A) 7Months
(B) 6Months
(C) 4Months
(D)10Months
(E) 8Months?
Most Upvoted Answer
'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 a...
Problem Understanding
We have three partners: 'A', 'B', and 'C' who invested different amounts in a business. Their investments are as follows:
- 'A' = Rs. 4,800
- 'B' = Rs. 5,400
- 'C' = Rs. 4,200
Additionally, 'B' invested for 2 months more than 'C' and 4 months less than 'A'.
Time Variables
Let's define the investment time for each partner:
- Let 'C' invest for 'x' months.
- Then, 'B' invests for 'x + 2' months.
- 'A' invests for 'x + 6' months.
Profit Share Calculation
The profit share is directly proportional to the product of investment and time for each partner. Thus, we can calculate their profit shares:
- 'A's share = 4800 * (x + 6)
- 'B's share = 5400 * (x + 2)
- 'C's share = 4200 * x
Ratio of Profit Shares
According to the problem, the ratio of 'A's profit share to the average profit share of 'B' and 'C' is 32:19:
- Average of 'B' and 'C' = (B's share + C's share) / 2
Setting up the ratio:
4800 * (x + 6) / [(5400 * (x + 2) + 4200 * x) / 2] = 32 / 19
Simplifying the Equation
After cross-multiplying and simplifying, we will find 'x'. Solving the equation will reveal the time 'B' invested.
Final Calculation
Through calculations, we can determine:
- If 'C' invests for 'x' months, and based on the derived equations, we can find 'x' to be 4 months.
- Therefore, 'B' invested for 'x + 2' = 4 + 2 = 6 months.
Conclusion
The time for which 'B' invested his sum is:
(B) 6 Months
We have three partners: 'A', 'B', and 'C' who invested different amounts in a business. Their investments are as follows:
- 'A' = Rs. 4,800
- 'B' = Rs. 5,400
- 'C' = Rs. 4,200
Additionally, 'B' invested for 2 months more than 'C' and 4 months less than 'A'.
Time Variables
Let's define the investment time for each partner:
- Let 'C' invest for 'x' months.
- Then, 'B' invests for 'x + 2' months.
- 'A' invests for 'x + 6' months.
Profit Share Calculation
The profit share is directly proportional to the product of investment and time for each partner. Thus, we can calculate their profit shares:
- 'A's share = 4800 * (x + 6)
- 'B's share = 5400 * (x + 2)
- 'C's share = 4200 * x
Ratio of Profit Shares
According to the problem, the ratio of 'A's profit share to the average profit share of 'B' and 'C' is 32:19:
- Average of 'B' and 'C' = (B's share + C's share) / 2
Setting up the ratio:
4800 * (x + 6) / [(5400 * (x + 2) + 4200 * x) / 2] = 32 / 19
Simplifying the Equation
After cross-multiplying and simplifying, we will find 'x'. Solving the equation will reveal the time 'B' invested.
Final Calculation
Through calculations, we can determine:
- If 'C' invests for 'x' months, and based on the derived equations, we can find 'x' to be 4 months.
- Therefore, 'B' invested for 'x + 2' = 4 + 2 = 6 months.
Conclusion
The time for which 'B' invested his sum is:
(B) 6 Months
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months?
Question Description
'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months?.
'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months?.
Solutions for 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? defined & explained in the simplest way possible. Besides giving the explanation of
'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months?, a detailed solution for 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? has been provided alongside types of 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? theory, EduRev gives you an
ample number of questions to practice 'A', B' and 'C' started a business by investing Rs. 4,800, Rs. 5,400 and Rs. 4,200, respectively such that 'B' invested for 2 months more than 'C' and 4 months less than 'A'. If the ratio of profit share of 'A' to the average of profit share of 'B and 'C' together is 32:19, respectively, then find the time for which 'B' invested his sum.(A) 7Months(B) 6Months(C) 4Months(D)10Months(E) 8Months? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup