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A, B and C started a partnership business. At the end of the year, they shared the profit in the ratio 5 : 6 : 9. If the capital of A was Rs. 16,000 less than C's capital, then what was the total capital of A, B and C together?
  • a)
    Rs. 90,000
  • b)
    Rs. 80,000
  • c)
    Rs. 60,500
  • d)
    Rs. 60,000
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A, B and C started a partnership business. At the end of the year, th...
Ratio of the profits of A, B and C = 5 : 6 : 9
So, ratio of their capitals = 5 : 6 : 9
Let the capitals of A, B and C be 5x, 6x and 9x, respectively.
Difference between the capitals of C and A
= (9x - 5x) = Rs. 16,000
⇒ 4x = 16000
⇒ x = 4000
Total capital of A, B and C = (5x + 6x + 9x) = 20x = 20 × 4000 = Rs. 80,000
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Community Answer
A, B and C started a partnership business. At the end of the year, th...
Let's assume the capital of A, B, and C as A, B, and C respectively.

Given that the ratio in which they shared the profit is 5:6:9.
So, the ratio of their capital investments will be the same.

We are given that the capital of A is Rs. 16,000 less than C's capital.
Therefore, we can write the equation as:
A = C - 16000

Now, let's find the common ratio. We can assume it as 'x'.

Therefore, the capital of A will be 5x.
The capital of B will be 6x.
The capital of C will be 9x.

Now, we can substitute the value of A from the given equation:
5x = C - 16000

Simplifying the equation, we get:
5x + 16000 = C

Now, equating the capital of C from both equations, we get:
C = 5x + 16000

Now, we can substitute the value of C in terms of x into the equation for the capital of C:
9x = 5x + 16000

Simplifying the equation, we get:
4x = 16000

Dividing both sides of the equation by 4, we get:
x = 4000

Now, we can find the capital of A, B, and C:
A = 5x = 5*4000 = 20000
B = 6x = 6*4000 = 24000
C = 9x = 9*4000 = 36000

The total capital of A, B, and C together will be:
Total capital = A + B + C = 20000 + 24000 + 36000 = 80000

Therefore, the total capital of A, B, and C together is Rs. 80,000.
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A, B and C started a partnership business. At the end of the year, they shared the profit in the ratio 5 : 6 : 9. If the capital of A was Rs. 16,000 less than C's capital, then what was the total capital of A, B and C together?a)Rs. 90,000b)Rs. 80,000c)Rs. 60,500d)Rs. 60,000e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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