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A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:
- a)10:12;15
- b)12:20:25
- c)9:12:25
- d)12:25:20
Correct answer is option 'B'. Can you explain this answer?
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A, B, C started a business with their investments in the ratio 2:4:5. ...
Answer – B)12:20:25 Solution: Investments: 2x,4x,5x A:B:C=2x*8+2x*4 : 4x*8+(4x/2)*4 : 5x*8+(5x/2)*4 A:B:C= 12:20:25
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A, B, C started a business with their investments in the ratio 2:4:5. ...
Given Information:
- A, B, C started a business with their investments in the ratio 2:4:5.
- After 8 months, A invested the same amount as before.
- Both B and C withdrew half of their investments.
To Find: The ratio of their profits at the end of the year.
Solution:
Let us assume that the initial investments of A, B, and C are 2x, 4x, and 5x respectively.
So, the total investment in the business = 2x + 4x + 5x = 11x
After 8 months,
A's investment = 2x
B's investment = (4x * 8/12) = 8/3 x
C's investment = (5x * 8/12) = 10/3 x
New investment:
A's new investment = 2x + 2x = 4x
B's new investment = (8/3)x / 2 = 4/3 x
C's new investment = (10/3)x / 2 = 5/3 x
Total investment after new investment = 11x + 4x - (4/3)x - (5/3)x = 15x
Let the profit be P.
A's share of profit = (4x * 12/15)P = 16/15 Px
B's share of profit = (4/3 x * 12/15)P = 16/45 Px
C's share of profit = (5/3 x * 12/15)P = 4/9 Px
The ratio of their profits at the end of the year:
= 16/15 Px : 16/45 Px : 4/9 Px
= (16*3) : (16*1) : (4*5)
= 48 : 16 : 20
= 12 : 4 : 5
= 12 : 20 : 25
Therefore, the ratio of their profits at the end of the year is 12:20:25. Hence, option B is the correct answer.
- A, B, C started a business with their investments in the ratio 2:4:5.
- After 8 months, A invested the same amount as before.
- Both B and C withdrew half of their investments.
To Find: The ratio of their profits at the end of the year.
Solution:
Let us assume that the initial investments of A, B, and C are 2x, 4x, and 5x respectively.
So, the total investment in the business = 2x + 4x + 5x = 11x
After 8 months,
A's investment = 2x
B's investment = (4x * 8/12) = 8/3 x
C's investment = (5x * 8/12) = 10/3 x
New investment:
A's new investment = 2x + 2x = 4x
B's new investment = (8/3)x / 2 = 4/3 x
C's new investment = (10/3)x / 2 = 5/3 x
Total investment after new investment = 11x + 4x - (4/3)x - (5/3)x = 15x
Let the profit be P.
A's share of profit = (4x * 12/15)P = 16/15 Px
B's share of profit = (4/3 x * 12/15)P = 16/45 Px
C's share of profit = (5/3 x * 12/15)P = 4/9 Px
The ratio of their profits at the end of the year:
= 16/15 Px : 16/45 Px : 4/9 Px
= (16*3) : (16*1) : (4*5)
= 48 : 16 : 20
= 12 : 4 : 5
= 12 : 20 : 25
Therefore, the ratio of their profits at the end of the year is 12:20:25. Hence, option B is the correct answer.
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A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:a)10:12;15b)12:20:25c)9:12:25d)12:25:20Correct answer is option 'B'. Can you explain this answer?
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A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:a)10:12;15b)12:20:25c)9:12:25d)12:25:20Correct answer is option 'B'. 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 A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:a)10:12;15b)12:20:25c)9:12:25d)12:25:20Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, C started a business with their investments in the ratio 2:4:5. After 8 months, A invested the same amount as before and both B and C withdrew half of their investments. The ratio of their profits at the end of the year is:a)10:12;15b)12:20:25c)9:12:25d)12:25:20Correct answer is option 'B'. Can you explain this answer?.
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