Two partners invested rs.50000 and rs.70000 respectively in a business and agreed that 70% of the profits should be divided equally between them and the remaining profit in the ratio of the investment. if one partner gets rs.90 more than the other, find the total profit made in the business.
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Answered by
7
Let the profit be 100%
Remaining profit which has to divided Acc to ratio of investment is 30%
In ratio 5:7
Let they get 5x and 7x
X=2.5%
Difference is 5%.
Which is equal to 90₹
So total profit Equals to ₹1800(90*20)
Remaining profit which has to divided Acc to ratio of investment is 30%
In ratio 5:7
Let they get 5x and 7x
X=2.5%
Difference is 5%.
Which is equal to 90₹
So total profit Equals to ₹1800(90*20)
Answered by
6
let the total profit =x rs
70% of the profit divided equally
means 70*x/100= 7x/10 rs divided equally
so each gets (7x/10)÷2=7x/20 rs
remaining profit is (x-7x/10)=3x/10 is divided in the ratio 50000:70000=5:7
so in this case remaining profit 3x/10 is divided in 5:7
so first gets (3x/10)*(5/12)=5x/40
and second gets =(3x/10)*(7/12)=7x/40
so first partner gets total =(7x+20)+(5x+40)=19x/40 rs
second partner gets (7x/20+7x/40)=21x/40 rs
so by question 21x/40 -19x/40=90
or 2x/40=90
or x=90*20=1800 rs
so total profit is 1800 rs
70% of the profit divided equally
means 70*x/100= 7x/10 rs divided equally
so each gets (7x/10)÷2=7x/20 rs
remaining profit is (x-7x/10)=3x/10 is divided in the ratio 50000:70000=5:7
so in this case remaining profit 3x/10 is divided in 5:7
so first gets (3x/10)*(5/12)=5x/40
and second gets =(3x/10)*(7/12)=7x/40
so first partner gets total =(7x+20)+(5x+40)=19x/40 rs
second partner gets (7x/20+7x/40)=21x/40 rs
so by question 21x/40 -19x/40=90
or 2x/40=90
or x=90*20=1800 rs
so total profit is 1800 rs
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