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A, B and C started a business with an investment ratio of 4 ∶ 7 ∶ 8. After 1-year, A increases his investment by 50% and C halved his investment. After 2 years, the total profit is Rs. 14400, what will be the share of B?
  • a)
    12200
  • b)
    7800
  • c)
    4200
  • d)
    5600
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A, B and C started a business with an investment ratio of 4 7 8. Aft...
Given Information:
- Initial investment ratio of A, B, and C: 4 : 7 : 8
- After 1 year, A increases his investment by 50%
- After 1 year, C halves his investment
- Total profit after 2 years: Rs. 14400

Solution:

Step 1: Calculate the new investment ratios after 1 year
- A's new investment = 4 + 50% of 4 = 4 + 2 = 6
- B's investment remains the same = 7
- C's new investment = 8 - 50% of 8 = 8 - 4 = 4
The new investment ratio becomes 6 : 7 : 4

Step 2: Calculate the total profit distribution after 2 years
- A's share = 6/17 * 14400 = Rs. 5040
- B's share = 7/17 * 14400 = Rs. 5880
- C's share = 4/17 * 14400 = Rs. 3360
Therefore, B's share of the profit after 2 years is Rs. 5880.
So, the correct answer is option D) 5600.
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