To determine how the profit should be divided among the partners, we need to calculate the ratio of each partner's investment to the total investment.
The total investment is the sum of the individual investments: Rs 1600 + Rs 1800 + Rs 2300 = Rs 5700.
Partner A's ratio of investment = Rs 1600 / Rs 5700
Partner B's ratio of investment = Rs 1800 / Rs 5700
Partner C's ratio of investment = Rs 2300 / Rs 5700
Now, we can calculate the profit for each partner by multiplying their respective ratios with the total profit of Rs 399.
Profit for Partner A = Partner A's ratio of investment * Total profit = (Rs 1600 / Rs 5700) * Rs 399
Profit for Partner B = Partner B's ratio of investment * Total profit = (Rs 1800 / Rs 5700) * Rs 399
Profit for Partner C = Partner C's ratio of investment * Total profit = (Rs 2300 / Rs 5700) * Rs 399
Simplifying these calculations will give us the share of profit for each partner.
Let's calculate the values for each option:
Option A) 116, 130, 153
Option B) 112, 126, 161
Option C) 110, 120, 169
Option D) 113, 127, 159
Calculating the values for each option:
Option A) (Rs 1600/ Rs 5700) * Rs 399 = Rs 111.79, (Rs 1800/ Rs 5700) * Rs 399 = Rs 126.32, (Rs 2300/ Rs 5700) * Rs 399 = Rs 160.88
Option B) (Rs 1600/ Rs 5700) * Rs 399 = Rs 112.28, (Rs 1800/ Rs 5700) * Rs 399 = Rs 126.76, (Rs 2300/ Rs 5700) * Rs 399 = Rs 161.96
Option C) (Rs 1600/ Rs 5700) * Rs 399 = Rs 111.40, (Rs 1800/ Rs 5700) * Rs 399 = Rs 120.00, (Rs 2300/ Rs 5700) * Rs 399 = Rs 169.60
Option D) (Rs 1600/ Rs 5700) * Rs 399 = Rs 112.65, (Rs 1800/ Rs 5700) * Rs 399 = Rs 127.06, (Rs 2300/ Rs 5700) * Rs 399 = Rs 159.29
Comparing the calculated values with the given options, we can see that Option B) 112, 126, 161 matches the calculated values.
Therefore, the correct answer is B) 112, 126, 161.