Quant Exam > Quant Questions > In a business, A in invests 1/4th of the tota...
Start Learning for Free
In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?
- a)Rs 5100
- b)Rs 4170
- c)Rs 5720
- d)Rs 2100
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In a business, A in invests 1/4th of the total capital for 1/4th of th...
C) Rs 5720 Explanation: Let the whole time is 1. then A invests for 1/4, B invests for 1/2 and C for whole 1.
Contribution of C = 1 – (1/4 + 1/5) = 11/20 So A’s share : B’s share : C’s share 1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
1/16 : 1/10 : 11/20
5 : 8 : 44
Share of C in profit = 44/(5+8+44) * 7410 = 5720
Contribution of C = 1 – (1/4 + 1/5) = 11/20 So A’s share : B’s share : C’s share 1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
1/16 : 1/10 : 11/20
5 : 8 : 44
Share of C in profit = 44/(5+8+44) * 7410 = 5720
Most Upvoted Answer
In a business, A in invests 1/4th of the total capital for 1/4th of th...
Given:
- A invested 1/4th of the total capital for 1/4th of the time
- B invested 1/5th of the total capital for half of the time
- C invested the remaining capital for the whole time
- Total profit = Rs 7410
To find:
- Share of C in the total profit
Approach:
1. Calculate the ratio of their investments (amount and time)
2. Calculate their individual profits
3. Add their profits to get the total profit
4. Find C's share in the total profit
Solution:
1. Ratio of investments:
- Let the total capital be 100x (Assuming x to be a constant)
- A invested 1/4th of the total capital for 1/4th of the time
- A's investment = 1/4 * 100x = 25x
- A's time = 1/4
- B invested 1/5th of the total capital for half of the time
- B's investment = 1/5 * 100x = 20x
- B's time = 1/2
- C invested the remaining capital for the whole time
- C's investment = Total capital - (A's investment + B's investment)
- C's investment = 100x - (25x + 20x) = 55x
- C's time = 1 (whole time)
Ratio of investments: A:B:C = 25x:20x:55x = 5:4:11
2. Individual profits:
- Let the total profit be P
- A's profit = (A's investment * A's time * P) / (Total capital * Total time)
= (25x * 1/4 * P) / (100x * 1) = P/16
- B's profit = (B's investment * B's time * P) / (Total capital * Total time)
= (20x * 1/2 * P) / (100x * 1) = P/10
- C's profit = (C's investment * C's time * P) / (Total capital * Total time)
= (55x * 1 * P) / (100x * 1) = 11P/20
3. Total profit:
- P = A's profit + B's profit + C's profit
= P/16 + P/10 + 11P/20
= (5P + 8P + 22P) / 80
= 35P / 80
= 7P / 16
4. C's share in the total profit:
- C's profit = 11P/20
- C's share = (C's profit / Total profit) * Total profit
= (11P/20) / (7P/16) * Rs 7410
= (11/20) * (16/7) * Rs 7410
= Rs 5720
Therefore, the share of C in the total profit of Rs 7410 is Rs 5720 (Option C).
- A invested 1/4th of the total capital for 1/4th of the time
- B invested 1/5th of the total capital for half of the time
- C invested the remaining capital for the whole time
- Total profit = Rs 7410
To find:
- Share of C in the total profit
Approach:
1. Calculate the ratio of their investments (amount and time)
2. Calculate their individual profits
3. Add their profits to get the total profit
4. Find C's share in the total profit
Solution:
1. Ratio of investments:
- Let the total capital be 100x (Assuming x to be a constant)
- A invested 1/4th of the total capital for 1/4th of the time
- A's investment = 1/4 * 100x = 25x
- A's time = 1/4
- B invested 1/5th of the total capital for half of the time
- B's investment = 1/5 * 100x = 20x
- B's time = 1/2
- C invested the remaining capital for the whole time
- C's investment = Total capital - (A's investment + B's investment)
- C's investment = 100x - (25x + 20x) = 55x
- C's time = 1 (whole time)
Ratio of investments: A:B:C = 25x:20x:55x = 5:4:11
2. Individual profits:
- Let the total profit be P
- A's profit = (A's investment * A's time * P) / (Total capital * Total time)
= (25x * 1/4 * P) / (100x * 1) = P/16
- B's profit = (B's investment * B's time * P) / (Total capital * Total time)
= (20x * 1/2 * P) / (100x * 1) = P/10
- C's profit = (C's investment * C's time * P) / (Total capital * Total time)
= (55x * 1 * P) / (100x * 1) = 11P/20
3. Total profit:
- P = A's profit + B's profit + C's profit
= P/16 + P/10 + 11P/20
= (5P + 8P + 22P) / 80
= 35P / 80
= 7P / 16
4. C's share in the total profit:
- C's profit = 11P/20
- C's share = (C's profit / Total profit) * Total profit
= (11P/20) / (7P/16) * Rs 7410
= (11/20) * (16/7) * Rs 7410
= Rs 5720
Therefore, the share of C in the total profit of Rs 7410 is Rs 5720 (Option C).
Free Test
FREE
| Start Free Test |
Community Answer
In a business, A in invests 1/4th of the total capital for 1/4th of th...
C) Rs 5720 Explanation: Let the whole time is 1. then A invests for 1/4, B invests for 1/2 and C for whole 1.
Contribution of C = 1 – (1/4 + 1/5) = 11/20 So A’s share : B’s share : C’s share 1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
1/16 : 1/10 : 11/20
5 : 8 : 44
Share of C in profit = 44/(5+8+44) * 7410 = 5720
Contribution of C = 1 – (1/4 + 1/5) = 11/20 So A’s share : B’s share : C’s share 1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
1/16 : 1/10 : 11/20
5 : 8 : 44
Share of C in profit = 44/(5+8+44) * 7410 = 5720
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)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 In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)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 In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)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 In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)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 In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?a)Rs 5100b)Rs 4170c)Rs 5720d)Rs 2100e)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
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