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 .
Answers
Answer:
Jshshhshxbdbbxxbbxxh.d sorryby mistakebdnnsnsjdjshdhhxhxjxvc bx
Answer:
Given :-
- Two friends invested Rs. 40000 and Rs. 50000 respectively to start a business. They made a contract that they would divided 50% of the profit equally among themselves and the remaining profit in the ratio of their capitals.
Find out :-
- The share of first friend profit.
Solution :-
Ratio of capital = 40000 : 50000
Ratio of capital = 4 : 5
Let the profit be 'x'
50% of profit = x × 50/100
= x/2
First friend will get = (x/2)/2
First friend will get = x/4 Rs.
Second friend will get = (x/2)/2
Second friend will get = x/4 Rs.
Now,
Ratio of capital = 4 : 5
Profit of first friend = x/2 × 4/4 + 5
Profit of first friend = 4x/18 Rs.
Profit of second friend = x/2 × 5/4 + 5
Profit of second friend = 5x/18 Rs.
A.T.P (total profit of second friend) - (total profit of first friend) = 800
➻ (5x/18 + x/4) - (4x/18 + x/4) = 800
➻ 5x/18 + x/4 - 4x/18 - x/4 = 800
➻ 5x/18 - 4x/18 = 800
➻ 5x - 4x/18 = 800
➻ x/18 = 800
➻ x = 18 × 800
➻ x = 14400 Rs.
Total profit = 14400 Rs.
Profit of first friend = x/2 × 4/9 + x/4
Profit of first friend = 14400 × 4/18 + 14400/4
Profit of first friend = 3200 + 3600
Profit of first friend = 6800 Rs.
∴ The share of first friend profit 6800 Rs.