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A and B enter into a partnership with Rs. 50000 and Rs. 60000 respectively. C joins them after x months, contributing Rs. 70000 and B leaves x months before the end of the year. If they share the profit in the ratio of 20 : 18 : 21, then the value of x is = ?
  • a)
    3
  • b)
    6
  • c)
    8
  • d)
    9
Correct answer is option 'A'. Can you explain this answer?
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A and B enter into a partnership with Rs. 50000 and Rs. 60000 respecti...
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A and B enter into a partnership with Rs. 50000 and Rs. 60000 respecti...
Given:
A's investment = Rs. 50000
B's investment = Rs. 60000
C's investment = Rs. 70000
Profit sharing ratio = 20 : 18 : 21
Let the total time be 12 months.

Calculation:
Let B leave x months before the end of the year. So, B works for (12 - x) months.
Let C join after x months. So, C works for (12 - x) months.
Now, let's calculate the profit distribution for each partner.

A's profit = (20/59) * [(50000 * 12) + (70000 * (12 - x))] = 120000 + (280000/59)x
B's profit = (18/59) * [(60000 * (12 - x))] = 129230.77 - (108461.54)x/59
C's profit = (21/59) * [(70000 * (12 - x))] = 147457.63 - (124324.32)x/59

As per the given information, A, B, and C share the profit in the ratio of 20 : 18 : 21.
So, we can equate their profits and solve for x.

(20/59) * [(50000 * 12) + (70000 * (12 - x))] = (18/59) * [(60000 * (12 - x))] + (21/59) * [(70000 * (12 - x))]

On solving this equation, we get x = 3.

Therefore, the value of x is 3.
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A and B enter into a partnership with Rs. 50000 and Rs. 60000 respectively. C joins them after x months, contributing Rs. 70000 and B leaves x months before the end of the year. If they share the profit in the ratio of 20 : 18 : 21, then the value of x is = ?a)3b)6c)8d)9Correct answer is option 'A'. Can you explain this answer?
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