Multiple choice

A and B started a partnership business investing in the ratio of 3:8. C joined them after 4 months with an amount equal to three fourth of B. What was their profit at the end of year, if C got rupees 24000 as his share?

  1. 120000

  2. 150000

  3. 90000

  4. 180000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A=3x, B=8x for 12 months each. C joins after 4 months (so invests for 8 months) with (3/4)*8x = 6x. Ratio of capital-months: 36x : 96x : 48x = 3:8:4. C's share is 4/(3+8+4) = 4/15 of total. 4/15 * P = 24000, so P = 90000.

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