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A starts a business with Rs. 4500 and after 4 months, B joins with some capital. At the end of the year, the profit is divided in the ratio 3 : 4. What is B's contribution to the business?
  • a)
    6500
  • b)
    9000
  • c)
    7500
  • d)
    10000
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A starts a business with Rs. 4500 and after 4 months, B joins with som...
Let's solve this question step by step:

Given:
A starts a business with Rs. 4500.
B joins after 4 months.

To find:
B's contribution to the business.

Solution:
Step 1: Calculate the initial investment of A
A starts the business with Rs. 4500.

Step 2: Calculate the investment of B
Let B's capital be Rs. x.
B joins after 4 months, so the remaining months in the year are 12 - 4 = 8.
Since the profit is divided in the ratio 3:4, the ratio of their investments will be the same.
So, A's investment for the entire year is 12/12 = 1, and B's investment is 8/12 = 2/3.
According to the given ratio, we have:
4500 : x = 1 : 2/3
4500 * (3/2) = x
x = 6750

Therefore, B's contribution to the business is Rs. 6750.

Step 3: Verify the answer
To verify the answer, we can calculate the profit distribution using the given ratio.
The ratio of their investments is 4500 : 6750 = 2 : 3.
The total ratio is 2 + 3 = 5.
A's share = (2/5) * Total Profit
B's share = (3/5) * Total Profit

Since the total profit is not given, we cannot calculate the exact values of their shares. However, we can see that the ratio of their investments is 2 : 3, which matches the investment ratio calculated earlier.

Therefore, the correct answer is option B) Rs. 9000.
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