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A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money.Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?
  • a)
    91 : 60 : 85
  • b)
    61 : 81 : 72
  • c)
    65 : 80 : 74
  • d)
    84 : 80 : 81
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A wit...
E) None of these Explanation: A’s share : B’s share : C’s share 50*4 + (50/2) * 8 : 45*6 + (45/2) * 6 : 70*6
80 : 81 : 84
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Most Upvoted Answer
A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A wit...
Given:
A puts Rs 50, B puts Rs 45, and C puts Rs 70.

A withdrew half of his money at the end of 4 months.
B withdrew half of his money at the end of 6 months.
C remains until the end of the year.

To find: The ratio in which profit will be divided among A, B, and C.

Solution:
Let us calculate the total amount invested by A, B, and C and the time period for which they invested their money.

Total amount invested by A = Rs 50
Total amount invested by B = Rs 45
Total amount invested by C = Rs 70

A withdrew half of his money at the end of 4 months, so the amount remaining with him after 4 months = Rs 25.
B withdrew half of his money at the end of 6 months, so the amount remaining with him after 6 months = Rs 22.5.

Now, let us calculate the time period for which each of them invested their money.

A invested for 4 months and then withdrew half of his money. So, effectively he invested for 2 months.
B invested for 6 months and then withdrew half of his money. So, effectively he invested for 3 months.
C invested for the entire year i.e. 12 months.

Now, let us calculate the ratio in which profit will be divided among A, B, and C.

Ratio of profit = (Amount invested by A * Time period for which A invested) : (Amount invested by B * Time period for which B invested) : (Amount invested by C * Time period for which C invested)

Ratio of profit = (50 * 2) : (45 * 3) : (70 * 12)
Ratio of profit = 100 : 135 : 840
Ratio of profit = 20 : 27 : 168

Hence, the ratio in which profit will be divided among A, B, and C is 20 : 27 : 168. Therefore, option E is the correct answer.
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Community Answer
A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A wit...
E) None of these Explanation: A’s share : B’s share : C’s share 50*4 + (50/2) * 8 : 45*6 + (45/2) * 6 : 70*6
80 : 81 : 84
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A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money.Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?a)91 : 60 : 85b)61 : 81 : 72c)65 : 80 : 74d)84 : 80 : 81e)None of theseCorrect answer is option 'E'. Can you explain this answer?
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A puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money.Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?a)91 : 60 : 85b)61 : 81 : 72c)65 : 80 : 74d)84 : 80 : 81e)None of theseCorrect answer is option 'E'. 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 puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money.Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?a)91 : 60 : 85b)61 : 81 : 72c)65 : 80 : 74d)84 : 80 : 81e)None of theseCorrect answer is option 'E'. 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 puts Rs 50 and B puts Rs 45 in a game. At the end of 4 months, A withdrew half of his money and at the end of 6 months B also withdrew half of his money.Now C also wants to play and puts Rs 70 and remains until the end of year. In what ratio the profit will be divided among them?a)91 : 60 : 85b)61 : 81 : 72c)65 : 80 : 74d)84 : 80 : 81e)None of theseCorrect answer is option 'E'. Can you explain this answer?.
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