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Mizan42
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isanyamm
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Given conditions:
M = 2/5 * (Mo + Mi)
Mo = 3/7 * (M + Mi)
M + Mo + Mi = 4200

Substituting into the total amount equation:
15M + 14Mo + 64Mi = 147000

Simplifying the given conditions:
M = (2Mo + 2Mi) / 5

Substituting into the total amount equation:
20Mo + 70Mi = 735000

Possible solution: Mo = 2000, Mi = 1000

Substituting into the equation for M:
M = (2 * 2000 + 2 * 1000) / 5
M = 1200
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Let,
Mizan=x
Morium=y
Milan= z

Acc. to the condition,

x= 2/5 (y+z)........(1)

and
y = 3/7 (x+z)
or, 7y/3 = x+z
or, x = 7y/3 - z......... (2)

from (1) & (2)

2/5 (y+z) = 7y/3 - z
or, (2y +2z)/5 = (7y-3z)/3
or, 6y + 6z = 35y - 15z
or, 21z = 29y
or, z/y = 29/21

now putting the value of y & z to (1)
x = 2/5 (29+21)
x =20

so, x:y:z = 20:21:29
sum of those ratio= 70

now, Mizan receives $4200*20/70
= $1200 (ans.)
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