A and B started a business with an investment of Rs X and Rs X+800,…
2025
A and B started a business with an investment of Rs X and Rs X+800, respectively. After eight months A left, C joined with Rs 2400. If, at the end of the year, the profit share of B is Rs 5400 out of the total profit of Rs 9300, then find X.
Answer: B. 4000 — A's time-weighted capital = 8X. B's = 12(X + 800). C's = 2400 x 4 = 9600. B's share is 5400/9300 = 18/31, so 12(X + 800)/(8X + 12(X + 800) + 9600) = 18/31.…
- A.
2500
- B.
4000
- C.
1600
- D.
5000
- E.
6500
Attempted by 5 students.
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Correct answer: B
A's time-weighted capital = 8X. B's = 12(X + 800). C's = 2400 x 4 = 9600. B's share is 5400/9300 = 18/31, so 12(X + 800)/(8X + 12(X + 800) + 9600) = 18/31. Solving gives X = 4000.
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