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 Three persons enter into a partnership by investing in the ratio of 4:5:8. After one year A invest more 4300 and B withdraws 3200. Now, the ratio of investment changes to 5:4:7. Approximately how much A invested initially.
  • a)
    14555
  • b)
    14655
  • c)
    14755
  • d)
    14855
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Three persons enter into a partnership by investing in the ratio of 4:...
Answer – 3.14755 Explanation : after one year – 4x+4300 : 5x-3200 : 8x so, to find X – (4x+4300)/(5x-3200) = 5/4 so investment made by A = (33200/9)*4 = 14755.55
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Most Upvoted Answer
Three persons enter into a partnership by investing in the ratio of 4:...
Initial Investment:
- Let the initial investments of A, B, and C be 4x, 5x, and 8x respectively.
- Therefore, the total initial investment is 17x.

After One Year:
- A invests an additional 4300, so their new investment is 4x + 4300.
- B withdraws 3200, so their new investment is 5x - 3200.
- C's investment remains the same at 8x.
- Therefore, the total investment after one year is 17x + 1100.

New Ratio:
- The new ratio of investment is 5:4:7.
- Let the common ratio be y.
- Therefore, the new investments of A, B, and C are 5xy, 4xy, and 7xy respectively.
- The total new investment is 16xy.
- Equating the total new investment to the total investment after one year, we get:
16xy = 17x + 1100
- Solving for y, we get y = 11.25.

Approximate Initial Investment of A:
- A's initial investment was 4x.
- Multiplying 4x by 11.25, we get A's new investment of 45x/4.
- Since A invested an additional 4300, we can set up the equation:
45x/4 - 4300 = 4x
- Solving for x, we get x = 595.
- Therefore, A's initial investment was 4x = 2380.
- Rounding to the nearest hundred, we get the approximate answer of 14700.
- Thus, the correct answer is option C (14755).
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