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A, B and C started a business investing amounts in the ratio of 5 : 6 : 8 respectively. After one year, C withdrew 50% of the amount and A invested an additional amount of 60% of the original amount invested by him. In what ratio, the profit earned at the end of 2 years should be distributed among A, B and C respectively ?
  • a)
    2 : 3 : 3
  • b)
    4 : 3 : 2
  • c)
    13 : 12 : 12
  • d)
    Cannot be determined
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A, B and C started a business investing amounts in the ratio of 5 : 6 ...
Let the initial investments of A, B and C be Rs. 5x, Rs. 6x and Rs. 8x respectively
Then, A : B : C
[5x × 12 + (160% of 5x)] : (6x × 24) : (8x × 12 + 4x × 12)
= 156x : 144x : 144x
= 13 : 12 : 12
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Most Upvoted Answer
A, B and C started a business investing amounts in the ratio of 5 : 6 ...
To solve this problem, we need to calculate the profit distribution ratio among A, B, and C after 2 years. Let's break down the given information and solve step-by-step.

Given:
Investment ratio of A, B, and C = 5 : 6 : 8

Step 1: Calculate the initial investments of A, B, and C
Let the initial investments of A, B, and C be 5x, 6x, and 8x respectively, where x is a common multiplier.

Step 2: Calculate the investments after one year
After one year, C withdraws 50% of his investment, so the new investment for C becomes 8x - (50% of 8x) = 8x - 4x = 4x.

A invests an additional amount of 60% of his original investment, so the new investment for A becomes 5x + (60% of 5x) = 5x + 3x = 8x.

Therefore, the updated investments after one year are:
A = 8x
B = 6x
C = 4x

Step 3: Calculate the profit distribution ratio after 2 years
The profit distribution ratio will be based on the total investments of A, B, and C after 2 years.

The total investment of A after 2 years = initial investment + additional investment = 5x + 8x = 13x
The total investment of B after 2 years = initial investment = 6x
The total investment of C after 2 years = initial investment - withdrawal + profit = 8x - 4x + profit = 4x + profit

Since the profit is common for all partners, we can assume it to be y.

Therefore, the total investments after 2 years are:
A = 13x
B = 6x
C = 4x + y

The profit distribution ratio will be the ratio of these total investments:
A : B : C = 13x : 6x : (4x + y)

Since we need to find the ratio in terms of A, B, and C, we can divide each term by x:
13 : 6 : (4 + y/x)

Since we don't have any information about the value of y/x, we cannot simplify the ratio further.

Therefore, the profit distribution ratio at the end of 2 years cannot be determined.

Hence, the correct answer is option (d) Cannot be determined.
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A, B and C started a business investing amounts in the ratio of 5 : 6 : 8 respectively. After one year, C withdrew 50% of the amount and A invested an additional amount of 60% of the original amount invested by him. In what ratio, the profit earned at the end of 2 years should be distributed among A, B and C respectively ?a)2 : 3 : 3b)4 : 3 : 2c)13 : 12 : 12d)Cannot be determinede)None of theseCorrect answer is option 'C'. Can you explain this answer?
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