Multiple choice

Find the correct relationship between the given quantities: A starts a business by investing some amount. B joins here after 4 months investing 50% more amount than A. C joins them for last 4 months by investing amount equal to 60% of total amount of A and B together. If they got annual profit of Rs 50000 then\Quantity I =difference between shares of A and B \Quantity II =difference between shares of B and C

  1. Quantity II > Quantity I

  2. Quantity I ≥ Quantity II

  3. Quantity I > Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's investment = x. B invests 1.5x for 8 months = 12x-equivalent. C invests 0.6(x+1.5x) = 1.5x for 4 months = 6x-equivalent. Total = 30x. Profit distribution: A gets 12/30 × 50000 = 20000, B gets 12/30 × 50000 = 20000, C gets 6/30 × 50000 = 10000. Quantity I (A-B diff) = 0, Quantity II (B-C diff) = 10000. Therefore Quantity II > Quantity I.

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