three partner shared tthe profit in a business in a business in a ratio 5:6:7. they had partnered for 12 months 9 month and 8 month respectively. waht was the ratio of thier investment
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Step-by-step explanation:
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x:8y:7z=5:7:8.
Now,
8y
14x
=
7
5
⇔98x=40y⇔y=
20
49
x
And,
7z
14x
=
8
5
⇔112x=35z⇔z=
35
112
x=
5
16
x.
∴x:y:z=x:
20
49
x:
5
16
x=20:49:64.
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