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A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A started a business with Rs.21,000 and is joined afterwards by B with...
Suppose B joined after x months
then,
21000 × 12 = 36000 × (12 - x)
⇒ 36x = 180
⇒ x = 5
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Most Upvoted Answer
A started a business with Rs.21,000 and is joined afterwards by B with...
Given:
Initial investment of A = Rs. 21,000
Investment of B = Rs. 36,000
The profits at the end of the year are divided equally.

To find:
After how many months did B join?

Solution:
Let B join after x months.
Then, the total profit at the end of the year will be divided in the ratio of their investments and time periods.
So, the share of A = (21000 * 12) / (21000 * 12 + 36000 * x)
The share of B = (36000 * x) / (21000 * 12 + 36000 * x)

As the profits are divided equally, their shares should be equal.
Therefore, (21000 * 12) / (21000 * 12 + 36000 * x) = (36000 * x) / (21000 * 12 + 36000 * x)

Solving the above equation, we get:
x = 5

Therefore, B joined after 5 months.

Answer: Option B.
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