Multiple choice

A and B entered into a partnership with investment in the ratio of 11: 9 respectively. After one year, C joined them with investment equal to average of the initial investments of A and B. B is the working partner and A and C are sleeping partners. At the end of two years, they earned a total profit of Rs.125000. B being the working partner, 10% of the profit goes to her for her work and rest of the profit is divided among them as per the ratio of their shares in the profit. Find the share of A in the profit?

  1. Rs.47667

  2. Rs.49500

  3. Rs.38508

  4. Rs.76206

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

A and B invest in ratio 11:9. Let amounts be 11x and 9x. C joins after 1 year with average = (11x+9x)/2 = 10x. After 2 years: A's investment = 11x × 2 = 22x, B's = 9x × 2 = 18x, C's = 10x × 1 = 10x. Total = 50x. B gets 10% of 125000 = 12500 for working. Remaining 112500 distributed in 22:18:10 = 11:9:5. A's share = (11/25) × 112500 = 49500. The answer key says B (Rs.49500) which is correct.

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