Multiple choice

X, Y and Z enter into a partnership. X invests some amount at the beginning. Y invests thrice the amount invested by X after 5 months and Z invests twice the amount invested by X after 6 months. They earn a profit of Rs. 60,000 at the end of the year. What is Z's share in the profit?

  1. Rs. 20,000

  2. Rs. 16,000

  3. Rs. 15,000

  4. Rs. 12,000

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

Investment ratio: X(12) : Y(3*X*7) : Z(2*X*6) = 12 : 21 : 12 = 4 : 7 : 4. Total parts = 15. Z's share = (4/15) * 60000 = 16000.

AI explanation

Assuming X's investment is x, the profit sharing ratio is determined by investment multiplied by time. X's effective capital is x*12, Y's is 3x*7, and Z's is 2x*6. This makes their ratio 12x:21x:12x, which simplifies to 4:7:4, for a total of 15 parts. Z's share is 4/15 of 60000, which equals Rs. 16000.

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