Q. A and B start a business, with A investing the total capital of Rs.50000, on the condition that B pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives Rs.1500 per month from the total profit and any profit remaining is equally shared by both of them. At the end of the year, it was found that the income of A is twice that of B. Find the total profit for the year?

Explanation by: Deepak Sahoo

Interest received by A from B = 10% of half of Rs.50000 = 10% of Rs. 25000 = Rs.2500.
Amount received by A per annum for being a working partner = 1500 x 12 = Rs.18000
Let 'P' be the part of the remaining profit that A receives as his share.
So,total income of A = (Rs.2500 + Rs.18000 + Rs. P )
Total income of B = only his share from the remaining profit = 'P', as  A and B share the remaining profit equally.
We know that income of A = Twice the income of B 
So, (2500 + 18000 + P ) = 2(P)
P = 20500
Thus, the total profit = 2P + Rs.18000
= 2(20500) + 18000 = Rs.59000.