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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?
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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).
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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
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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?
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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?.
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