Question

Ram and shyam enter into a partnership. ram supplies whole of the capital amounting to rs. 60,000 with the condition that the profits are to be equally divided and that shyam pays ram interest on half of the capital at 10% per annum, but receives rs. 150 per month for carrying on the concern. find their total yearly profit when shyam's income is half of ram's income.

Answer 1

Amount received by Shyam (from the total profit) for carrying on the concern = 150×12 =1800


Amount received by Ram (from Shyam) as interest =30000×10/100 = 3000

Let total profit be=2x+1800

Then, Ram and Shyam gets x
as share of the profit.

Ram's total income in the year
=x+3000

B's total income in the year
=x+1800-3000
=x−1200


2(x−1200)=x+3000
⇒2x−2400=x+3000
⇒x=5400


Total yearly profit = 2x+1800
=12,600