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Ramesh started a business investing Rs.50000 in 2010.In 2011, he invested an additional amount of Rs.15000 and Anil joined with an amount of Rs.40000.In 2012,Ramesh invested another additional amount of Rs.12000 and Bharat joined with an amount of Rs.35000.What will be the Anil's share in the profit of Rs.1,80,000 earned at the end of 3 years from the start of the business in 2010?Rs 46948Rs 35893Rs 50000None of these

Question

Ramesh started a business investing Rs.50000 in 2010.In 2011, he invested an additional amount of Rs.15000 and Anil joined with an amount of Rs.40000.In 2012,Ramesh invested another additional amount of Rs.12000 and Bharat joined with an amount of Rs.35000.What will be the Anil's share in the profit of Rs.1,80,000 earned at the end of 3 years from the start of the business in 2010?Rs 46948Rs 35893Rs 50000None of these

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Solution 1

The profit share of a business is divided according to the capital invested and the time for which the capital was invested.

Let's calculate the capital for each person for each year:

  • In 2010, Ramesh invested Rs. 50000. So, his capital for the year is 50000.
  • In 2011, Ramesh invested an additional Rs. 15000, making his total investment Rs. 65000 for the year. Anil also joined with Rs. 40000 in 2011.
  • In 2012, Ramesh invested another Rs. 12000, making his total investment Rs. 77000 for the year. Anil continued with his investment of Rs. 40000 and Bharat joined with Rs. 35000.

Now, let's calculate the capital-time (C*T) product for each person:

  • Ramesh: For 2010, CT = 500001 = 50000. For 2011, CT = 650001 = 65000. For 2012, CT = 770001 = 77000. So, total C*T for Ramesh = 50000 + 65000 + 77000 = 192000.
  • Anil: For 2011, CT = 400001 = 40000. For 2012, CT = 400001 = 40000. So, total C*T for Anil = 40000 + 40000 = 80000.
  • Bharat: For 2012, CT = 350001 = 35000. So, total C*T for Bharat = 35000.

The total C*T for all = 192000 (Ramesh) + 80000 (Anil) + 35000 (Bharat) = 307000.

Anil's share in the profit = (Anil's CT / Total CT) * Total Profit = (80000 / 307000) * 180000 = Rs. 46875.

So, the closest answer is Rs 46948.

This problem has been solved

Solution 2

The profit share of a business is divided according to the capital invested and the time for which the capital was invested.

Let's calculate the capital for each person for each year:

  • In 2010, Ramesh invested Rs. 50000.
  • In 2011, Ramesh invested an additional Rs. 15000, making his total investment Rs. 65000 for that year. Anil also joined with Rs. 40000.
  • In 2012, Ramesh invested another Rs. 12000, making his total investment Rs. 77000 for that year. Anil continued with his investment of Rs. 40000 and Bharat joined with Rs. 35000.

Now, let's calculate the capital-time (C*T) product for each person:

  • Ramesh: For 2010, CT = 500001 = 50000. For 2011, CT = 650001 = 65000. For 2012, CT = 770001 = 77000. So, total C*T for Ramesh = 50000 + 65000 + 77000 = 192000.
  • Anil: For 2011, CT = 400001 = 40000. For 2012, CT = 400001 = 40000. So, total C*T for Anil = 40000 + 40000 = 80000.
  • Bharat: For 2012, CT = 350001 = 35000. So, total C*T for Bharat = 35000.

The total C*T for all = 192000 (Ramesh) + 80000 (Anil) + 35000 (Bharat) = 307000.

Now, let's calculate the share of each person in the total profit of Rs. 1,80,000:

  • Ramesh's share = (192000/307000)*1,80,000 = Rs. 112,377 (approximately)
  • Anil's share = (80000/307000)*1,80,000 = Rs. 46,903 (approximately)
  • Bharat's share = (35000/307000)*1,80,000 = Rs. 20,720 (approximately)

So, Anil's share in the profit will be approximately Rs. 46,903. The closest option to this value is Rs. 46948. Therefore, Rs. 46948 is the correct answer.

This problem has been solved

Solution 3

The profit share of a business is divided according to the capital invested and the time for which the capital was invested.

Let's calculate the capital for each person for each year:

  1. Ramesh:

    • In 2010, he invested Rs. 50000.
    • In 2011, he invested an additional Rs. 15000, making his total investment Rs. 65000.
    • In 2012, he invested another Rs. 12000, making his total investment Rs. 77000.
  2. Anil:

    • He joined in 2011 with an investment of Rs. 40000.
    • He did not invest any additional amount in 2012.
  3. Bharat:

    • He joined in 2012 with an investment of Rs. 35000.

Now, let's calculate the capital-time (C*T) product for each person:

  1. Ramesh:

    • For 2010, CT = 500003 = 150000.
    • For 2011, CT = 650002 = 130000.
    • For 2012, CT = 770001 = 77000.
    • Total C*T for Ramesh = 150000 + 130000 + 77000 = 357000.
  2. Anil:

    • For 2011, CT = 400002 = 80000.
    • For 2012, CT = 400001 = 40000.
    • Total C*T for Anil = 80000 + 40000 = 120000.
  3. Bharat:

    • For 2012, CT = 350001 = 35000.
    • Total C*T for Bharat = 35000.

The total C*T for all = 357000 (Ramesh) + 120000 (Anil) + 35000 (Bharat) = 512000.

Anil's share in the profit = (Anil's CT / Total CT) * Total Profit = (120000 / 512000) * 180000 = Rs. 42188.

So, the answer is None of these.

This problem has been solved

Solution 4

The profit is distributed according to the ratio of the capital invested and the time for which the capital was invested.

Let's calculate the capital for each person for each year:

  • In 2010, Ramesh invested Rs. 50000.
  • In 2011, Ramesh invested an additional Rs. 15000, making his total investment Rs. 65000 for that year. Anil also joined with Rs. 40000.
  • In 2012, Ramesh invested another Rs. 12000, making his total investment Rs. 77000 for that year. Anil continued with his investment of Rs. 40000 and Bharat joined with Rs. 35000.

Now, let's calculate the capital-time (C*T) product for each person:

  • Ramesh: (500001) + (650001) + (77000*1) = 192000
  • Anil: (40000*2) = 80000
  • Bharat: (35000*1) = 35000

The total C*T product is 192000 + 80000 + 35000 = 307000

Anil's share in the profit will be his CT product divided by the total CT product, multiplied by the total profit:

(80000/307000) * 180000 = Rs. 46875

So, Anil's share in the profit is Rs. 46875. Therefore, none of the given options are correct.

This problem has been solved

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