Multiple choice

A, B and C entered into a partnership with Rs 3000, Rs 2000 and Rs 4000 respectively. 8 months from the commencement of their business B invested certain amount more and C withdrew certain amount in the ratio 4:1. If at the end of the year the amount of profit received by A and B together and the amount of profit received by B and C together is equal, then find the amount withdrew by C after 8 months?

  1. 1000

  2. 1100

  3. 700

  4. 3000

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's investment for full year = 3000 × 12 = 36000. Let B add 4x and C withdraw x after 8 months. B's investment = 2000×8 + (2000+4x)×4 = 24000+16x. C's investment = 4000×8 + (4000-x)×4 = 48000-4x. Profit A+B = Profit B+C means 36000 + 24000+16x = 24000+16x + 48000-4x. Solving gives 4x=12000, so x=3000. C withdrew Rs 3000.

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