Multiple choice

Ram and Shyam start enterprises with equal contributions of Rs. 5,00,000 each. After 3 months, Mohan joins them with a capital of Rs. 2,00,000 and after 6 months, Ganesh joins them with a capital of Rs. 3,00,000. If the profit for the year is Rs. 3,00,000, then determine the share of Mohan in profit.

  1. Rs. 81,000.25

  2. Rs. 48,615

  3. Rs. 34,615.38

  4. Rs. 25,615

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

Calculate the investment-months: Ram (500,000 * 12), Shyam (500,000 * 12), Mohan (200,000 * 9), Ganesh (300,000 * 6). Total = 6,000,000 + 6,000,000 + 1,800,000 + 1,800,000 = 15,600,000. Mohan's share = (1,800,000 / 15,600,000) * 300,000 = 34,615.38.

AI explanation

The profit is shared in the ratio of effective capital, which is calculated as investment multiplied by time. Ram's effective capital is 500000 times 12 to equal 6000000, Shyam's is also 6000000, Mohan's is 200000 times 9 to equal 1800000, and Ganesh's is 300000 times 6 to equal 1800000. The ratio of their effective capitals is 60 to 60 to 18 to 18, which simplifies by dividing by 6 to equal 10 to 10 to 3 to 3. The total number of parts in this ratio is 26, and since the total profit is 300000, the value of one ratio part is 300000 divided by 26. Mohan's share corresponds to 3 parts, so his profit is 3 multiplied by 300000 and divided by 26, which equals 34615.38.

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