Question

Ram and Shyam started a partnership.Ram who was rich contributed ₹1,00,000 but Shyam, who had experience and ability, contributed only ₹10,000 as their capitals. Besides this, Ram advanced a loan of ₹50,000 to the firm in the middle of the year. In the first year they earned a profit of ₹61,500. Ram insisted that interest on capital and loan be provided @18% per annum before the distribution of profit, while Shyam demanded a salary of ₹2,000 per month.

Answer 1

You didn't actually ask a question.
I will assume you want to know how the profit of ₹61,500 must be distributed, and
I will assume that the rate is 18% per annum, compounded monthly and will be applied to all monies.

At end of year, value of Ram's investment = 1,000,000(1.015)^12 + 50,000(1.015)^6 = 1,250,290.34
at end of year, value of Shyam = 10,000(1.015)^12 = 11,956.18
value of their investment = 1,262,246.52

Ram's share of profits = (1,250,290.34/1,262,246.52)*61500 = 60,917.46
Shyam's share = 61500 - 60917.46 = 582.54

BUT, Shyam also has already received 2000 per month for the year
which has a value of 2000(1.015^6 - 1)/.015 = 133,333.33, <b>which is more than their total profit</b>

So, you decide which of those values are liabilities and which are credits.