A, B and C started a business with investment of Rs. 12,000, Rs. 12,000 and…
2024
A, B and C started a business with investment of Rs. 12,000, Rs. 12,000 and Rs. 8,000 respectively. B invested only for ‘x’ months, while C left the business ‘x’ month before a year. If A got Rs 1800 out of annual profit of Rs 3200, then find the value of ‘x’?
- A.
2
- B.
8
- C.
6
- D.
4
- E.
5
Attempted by 1 students.
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Correct answer: D
A's time-weighted investment = 12000 x 12 = 144000.
B's time-weighted investment = 12000x, and C's = 8000(12 - x).
A's profit share is 1800/3200 = 9/16.
So 144000 / [144000 + 12000x + 8000(12 - x)] = 9/16, which gives x = 4.