geetha and priya started a project with their respectice investment in the ratio of 5:4 after the project started..Ashok and amit also joined with investments in the ratio of 2:3 if end of the year,Ashok's share of the total profit amount was Rs.4200 more than that of the priya and 50% more than that of the geetha,then what was Amit's share of the total profit amount ?
Answers
Given : Geetha and Priya started a project with their respective investments in the ratio of 5:4.
After the project started, Ashok and Amit also joined with investments in the ratio of 2:3
Ashok's share of the total profit amount was Rs.4200 more than
that of Priya and 50% more than that of Geetha,
To Find : Amit's share of the total profit amount
Solution:
Geeta share = 5x
Priya share = 4x
Ashok share = 2y
Amit share = 3y
Total = 5x + 4x + 2y + 3y = 9x + 5y
T = Total Profit
Ashok's share Rs.4200 more than that of Priya
T * 2y/(9x + 5y) = T * 4x/(9x + 5y) + 4200
50% more than that of Geetha
T *2y/(9x + 5y) = T * {5x/(9x + 5y)} ( 1 + 50/100)
=> 2y = 5x (3/2)
=> 4y = 15x
=> y = 15x/4
T *2y/(9x + 5y) = T *4x/(9x + 5y) + 4200
=> T 2 (15x/4)/ (9x + 5(15x/4) = T4x/ (9x + 5(15x/4) + 4200
=> T30x/(111x) = T16x/111x + 4200
=> 14T/111 = 4200
=> T = 111 * 300
=> T = 33300
Amit's share of the total profit amount
= 3y/ (9x + 5y) = 45/111
45/111 of total profit
= 45/111 * 33300
= 45 * 300
= 13500
Share of Each
Geeta = 6000
Pritya = 4800
Ashok = 9000
Amit = 13500
Total Profit = 33300
Learn More:
A, B and C share profit in the ratio 1/4:1/6:7/12. If C retire, what are ...
brainly.in/question/8959560
A, B and C were partners in a firm sharing profits in 3:3:2 ratio. They ...
brainly.in/question/11370896
Mr. Adderley and Mr. Bain are business partners. They share profits ...
brainly.in/question/17533306