Multiple choice

A, B and C entered into a partnership with the investment in the ratio of 5:3:4 respectively. After one year, B doubled its investment. At the end of two years, they earned a profit of Rs.54000. Find the share of B in the profit?

  1. Rs. 21000

  2. Rs. 27000

  3. Rs. 18000

  4. Rs. 14000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's investment is 5 for 2 years (10 units). B's investment is 3 for 1 year and 6 for 1 year (9 units). C's investment is 4 for 2 years (8 units). The profit ratio is 10:9:8, and B's share is 9/27 of 54000, which is 18000.

AI explanation

According to the partnership rule, the profit share equals the investment multiplied by the time period. If the investments are 5x, 3x, and 4x, B's effective investment for two years is (3x times 1 year) plus (6x times 1 year), which equals 9x. The effective investments for A and C remain 10x and 8x respectively, making the profit ratio for A, B, and C equal to 10 to 9 to 8. The total of 27 parts corresponds to the Rs. 54000 profit, so one part equals Rs. 2000, and B's 9 parts amount to Rs. 18000.

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