Mili gets half of Mia’s share and Mira gets one third of Mili’s share. How much profit will each partner get if profit of firm is 30,000?
Answers
Answer:
Mia - 15000
Mili - 10000
Mira - 5000
Answer:
let x be the profit gained by Milli. let y be the profit gained by Mita.
. let z be the profit gained by Mira. But the total amount of profit is 30000
rupees.
So from the given condition:
x + y + z = 30000
...(1)
By given condition, Mili gets half of Mita's share.
x = 0.5 y ... (2)
. And also Mira gets one-third of Mili's share.
z = 0.33 x
...(3)
• Put equation (3) & (2) in equation(1)
0.5 y + y + 0.33 x = 30000
0.5 y + y + 0.33 (0.5 y) = 30000
...from(2)
0.665 y 30000
y = 18018.1818
Put this value in equation (2) to find the value of x.
x = 0.5 (18018.18)
x = 9009.0909
• Put this value in equation (3) to find the value of z.
z = 0.33 (9009.0909)
z = 2972.9999
The profit gained by Milli is 9009.0909 rupees, the profit gained by Mita is 18018.1818 rupees & the profit gained by Mira is 2972.9999 rupees from the total profit of rupees 30000.