Question

Three partners shared the profit in a
business in the ratio 5 : 6 : 7. They had
partnered for 12 months, 10 months and
8 months respectively. What was the ratio
of their investments? please answer...

​

Answer 1

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.

Answer 2

Answer:

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.