Multiple choice

A and B together started the business with the investment of Rs.5000 and Rs.8000 respectively and after 6 months, C joined with them the investment of Rs.9000. At the end of one year, the difference between the profit shares of A and C is Rs.200, what is the total profit share?

  1. Rs.4000

  2. Rs.6000

  3. Rs.7000

  4. Rs.5000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A's investment = 5000*12 = 60000. B's = 8000*12 = 96000. C's = 9000*6 = 54000. Ratio A:B:C = 60:96:54 = 10:16:9. Difference between A and C shares = (10-9)x = x. Given x = 200. Total profit = (10+16+9)x = 35 * 200 = 7000.

AI explanation

By the partnership principle, the profit ratio equals the ratio of the product of investment and time. The effective capital for A is 5000 times 12, for B is 8000 times 12, and for C is 9000 times 6, yielding a profit ratio of 60,000 to 96,000 to 54,000, or 10 to 16 to 9. The difference between the ratio parts of A and C is 10 minus 9, which equals 1 part, and this corresponds to the Rs. 200 difference. Since the total parts equal 35, the total profit is 35 times Rs. 200, resulting in Rs. 7000.

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