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Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.
- a)Rs. 4000
- b)Rs. 5000
- c)Rs. 6000
- d)Rs. 7000
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Three partners A , B , C start a business . B's Capital is four ti...
Suppose C's capital = x then
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 6x ( Since twice A's capital is equal to thrice B's capital)
A : B : C =6x : 4x : x
= 6 : 4 : 1
B's share
B's capital = 4x (Since B's Capital is four times C's capital)
A's capital = 6x ( Since twice A's capital is equal to thrice B's capital)
A : B : C =6x : 4x : x
= 6 : 4 : 1
B's share
Most Upvoted Answer
Three partners A , B , C start a business . B's Capital is four ti...
Given Information:
- Partner A, B, and C start a business.
- B's capital is four times C's capital.
- Twice A's capital is equal to thrice B's capital.
- Total profit at the end of the year is Rs 16500.
To find: B's share in the total profit.
Let's solve the problem step by step:
Step 1: Assign Variables
Let's assume that C's capital is x.
According to the given information:
B's capital = 4x
A's capital = (3/2) * (4x) = 6x
Step 2: Total Capital
The total capital invested in the business is the sum of the capital of all three partners.
Total capital = A's capital + B's capital + C's capital
Total capital = 6x + 4x + x
Total capital = 11x
Step 3: Profit Sharing Ratio
The profit sharing ratio is determined by the capital invested by each partner.
The profit sharing ratio for A, B, and C is 6x:4x:x, which simplifies to 6:4:1.
Step 4: Calculation of B's Share in Profit
To find B's share in the total profit, we need to calculate the fraction of the total profit that belongs to B.
B's share = (B's capital / Total capital) * Total profit
B's share = (4x / 11x) * 16500
B's share = (4/11) * 16500
B's share = (6000/11)
Therefore, B's share in the total profit is Rs 6000.
Hence, option C (Rs 6000) is the correct answer.
- Partner A, B, and C start a business.
- B's capital is four times C's capital.
- Twice A's capital is equal to thrice B's capital.
- Total profit at the end of the year is Rs 16500.
To find: B's share in the total profit.
Let's solve the problem step by step:
Step 1: Assign Variables
Let's assume that C's capital is x.
According to the given information:
B's capital = 4x
A's capital = (3/2) * (4x) = 6x
Step 2: Total Capital
The total capital invested in the business is the sum of the capital of all three partners.
Total capital = A's capital + B's capital + C's capital
Total capital = 6x + 4x + x
Total capital = 11x
Step 3: Profit Sharing Ratio
The profit sharing ratio is determined by the capital invested by each partner.
The profit sharing ratio for A, B, and C is 6x:4x:x, which simplifies to 6:4:1.
Step 4: Calculation of B's Share in Profit
To find B's share in the total profit, we need to calculate the fraction of the total profit that belongs to B.
B's share = (B's capital / Total capital) * Total profit
B's share = (4x / 11x) * 16500
B's share = (4/11) * 16500
B's share = (6000/11)
Therefore, B's share in the total profit is Rs 6000.
Hence, option C (Rs 6000) is the correct answer.
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Three partners A , B , C start a business . B's Capital is four times C's capital and twice A's capital is equal to thrice B's capital . If the total profit is Rs 16500 at the end of a year ,Find out B's share in it.a)Rs. 4000b)Rs. 5000c)Rs. 6000d)Rs. 7000Correct answer is option 'C'. Can you explain this answer?
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