Question

Two friends invested rs 40000 and rs 50000 respectively to start a business. Thry made a contract that they would divide 50% of thr profit equally among themselves and the remaining profit in the ratio of their capitals. Let us write thr share of the profit of the first friend if it is rs 800 less than that if the 2nd friend .

Answer 1

Answer:

6800 & 7600 Rs

Step-by-step explanation:

Two friends invested rs 40000 and rs 50000 respectively to start a business. Thry made a contract that they would divide 50% of thr profit equally among themselves and the remaining profit in the ratio of their capitals. Let us write thr share of the profit of the first friend if it is rs 800 less than that if the 2nd friend .

Let say Total Profit Share =  P

Profit Share of 1 st friend = (50/100)(P/2)   +  (40000/90000)(P/2)

= P/4 + 4P/18

Profit Share of 2nd friend = (50/100)(P/2)   +  (50000/90000)(P/2)

= P/4 + 5P/18

P/4 + 5P/18 - (P/4 + 4P/18) =  P/18

P/18 = 800

=> P = 14400 Rs

First Friend Share =  14400/4 + 4*14400/18 = 3600 + 3200  = 6800 Rs

2nd Friend Share = 14400/4 + 5*14400/18 = 3600 +  4000  = 7600 Rs