Three friends (Amar, Mohan and Sham) started partnership business by investing  Rs.1,00,000, Rs.1,40,000 and Rs.1,60,000 respectively. After eight months, Ramesh joins them with his capital of Rs.50,000. If, at the end of the year, a profit of Rs.30,500 was made, what would be the difference between the shares of Sham and Mohan?Rs.675Rs.950Rs.1200Rs.1464

To solve this problem, we first need to calculate the capital for the time period for each person.

For Amar, Mohan, and Sham, they invested for the entire year, so their capital for the time period is the same as their initial investment.

Amar's capital for the time period = Rs.1,00,000 * 12 months = Rs.12,00,000 Mohan's capital for the time period = Rs.1,40,000 * 12 months = Rs.16,80,000 Sham's capital for the time period = Rs.1,60,000 * 12 months = Rs.19,20,000

Ramesh joined after 8 months, so he only invested for 4 months.

Ramesh's capital for the time period = Rs.50,000 * 4 months = Rs.2,00,000

Next, we calculate the total capital for the time period.

Total capital for the time period = Amar's capital + Mohan's capital + Sham's capital + Ramesh's capital = Rs.12,00,000 + Rs.16,80,000 + Rs.19,20,000 + Rs.2,00,000 = Rs.50,00,000

Now, we calculate each person's share of the profit.

Amar's share = Amar's capital / Total capital * Total profit = Rs.12,00,000 / Rs.50,00,000 * Rs.30,500 = Rs.7,320

Mohan's share = Mohan's capital / Total capital * Total profit = Rs.16,80,000 / Rs.50,00,000 * Rs.30,500 = Rs.10,224

Sham's share = Sham's capital / Total capital * Total profit = Rs.19,20,000 / Rs.50,00,000 * Rs.30,500 = Rs.11,664

Ramesh's share = Ramesh's capital / Total capital * Total profit = Rs.2,00,000 / Rs.50,00,000 * Rs.30,500 = Rs.1,220

Finally, we calculate the difference between the shares of Sham and Mohan.

Difference = Sham's share - Mohan's share = Rs.11,664 - Rs.10,224 = Rs.1,440

So, the difference between the shares of Sham and Mohan is Rs.1,440. This option is not given in the question. There might be a mistake in the question or the options provided.

To solve this problem, we first need to calculate the capital for the time period for each person.

For Amar, Mohan, and Sham, they invested for the entire year, so their capital for the time period is the same as their initial investment.

Amar's capital for the time period = Rs.1,00,000 * 12 months = Rs.12,00,000 Mohan's capital for the time period = Rs.1,40,000 * 12 months = Rs.16,80,000 Sham's capital for the time period = Rs.1,60,000 * 12 months = Rs.19,20,000

Ramesh joined after 8 months, so he only invested for 4 months.

Ramesh's capital for the time period = Rs.50,000 * 4 months = Rs.2,00,000

The total capital for the time period is the sum of all these, which is Rs.50,00,000.

The share of each person is proportional to their capital for the time period.

Amar's share = Rs.12,00,000 / Rs.50,00,000 * Rs.30,500 = Rs.7,320 Mohan's share = Rs.16,80,000 / Rs.50,00,000 * Rs.30,500 = Rs.10,184 Sham's share = Rs.19,20,000 / Rs.50,00,000 * Rs.30,500 = Rs.11,664 Ramesh's share = Rs.2,00,000 / Rs.50,00,000 * Rs.30,500 = Rs.1,220

The difference between the shares of Sham and Mohan is Rs.11,664 - Rs.10,184 = Rs.1,480.

So, the answer is not in the options given. There might be a mistake in the question or the options.