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A , B, and C invest in a business in the ratio 3:6:5. A and C are working partners. Only B is a sleeping partner; hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs. 50000 profit, half of which is reinvested in the business and the other half is distributed between partners, then how much does C get (in Rs)?
  • a)
    20000
  • b)
    6000
  • c)
    10000
  • d)
    9000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A , B, and C invest in a business in the ratio 3:6:5. A and C are wor...
Given the investment ratio old ratio
A : B: C
3 : 6 : 5
ATQ,
total profit = 50000
after reinvestment the profit
= 50000/2 = 25000
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Most Upvoted Answer
A , B, and C invest in a business in the ratio 3:6:5. A and C are wor...
Given information:
- Ratio of investment: A:B:C = 3:6:5
- B is a sleeping partner and his share is 3/4th of what it would have been if he were a working partner.
- Profit made = Rs. 50000
- Half of the profit is reinvested in the business and the other half is distributed among the partners.

Solution:
1. Calculate the total investment:
Let the common ratio be x, so the individual investments are:
A = 3x
B = 6x
C = 5x
Total investment = A + B + C = 3x + 6x + 5x = 14x

2. Calculate B's share if he were a working partner:
B's share as a working partner = 6x
But B's actual share = 3/4 * B's share as a working partner
= 3/4 * 6x
= 9/2 * x

3. Calculate the profit after reinvestment:
Profit = Rs. 50000
Reinvestment = Half of the profit = 1/2 * Rs. 50000 = Rs. 25000
Profit after reinvestment = Profit - Reinvestment = Rs. 50000 - Rs. 25000 = Rs. 25000

4. Calculate the share of A and C:
Share of A and C = Profit after reinvestment / Total investment * Individual investment
= Rs. 25000 / 14x * (3x + 5x)
= Rs. 25000 / 14x * 8x
= Rs. 25000 / 112x^2
= 625 / 28x

5. Calculate the total share of A, B, and C:
Total share = Share of A + Share of B + Share of C
= 625 / 28x + 9/2 * x + 625 / 28x
= 625 / 28x + 504x / 56x + 625 / 28x
= 625 + 504x + 625 / 28x

6. Calculate the value of x:
Total share = 1 (since the total share is equal to the total profit after reinvestment)
625 + 504x + 625 / 28x = 1
625 + 504x + 625 = 28x
1250 + 504x = 28x
476x = 1250
x = 1250 / 476
x ≈ 2.62

7. Calculate the individual shares:
Share of A = 625 / 28x ≈ 625 / 28 * 2.62 ≈ 625 / 73.36 ≈ Rs. 8.51
Share of B = 9/2 * x = 9/2 * 2.62 ≈ 11.85
Share of C = 625 / 28x ≈ 625 / 28 * 2.62 ≈ 625 / 73.36 ≈ Rs. 8.51

Answer:
From the calculations, it can be observed that C's share is approximately Rs. 8.51, which is closest to option C: 10000.
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A , B, and C invest in a business in the ratio 3:6:5. A and C are working partners. Only B is a sleeping partner; hence his share will be 3/4th of what it would have been if he were a working partner. If they make Rs. 50000 profit, half of which is reinvested in the business and the other half is distributed between partners, then how much does C get (in Rs)?a)20000b)6000c)10000d)9000Correct answer is option 'C'. Can you explain this answer?
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