Question

5. A and B are partners in ratio of 7:5.
They admit C for1/6 of share who takes
from A 1/24 and 1/8 from B. Find out new ratio and sacrificing ratio. ​

Answer 1

Answer:

Calculation of New ratio

Ashare = 7/12

A sacrifice 1/24

A new share is 7/12-1/24= 14-1/24= 13/24

B share 5/12

B sacrifice = 1/8

B new share is 5/12-1/8 = 10-3/24= 7/24

C share is 1/6

new Ratio of A B and C is

13/24:7/24:1/6= 13:7:4

sacrifice ratio

Old ratio - new ratio

A = 7/12-13/24

= 14-13/24= 1/24

B = 5/12-7/24

= 10-7/24= 3/24

sacrifice ratio = 1/24:3/24= 1:3

Answer 2

Answer:

New Ratio = A : B : C = 13 : 7 : 4

Sacrificing Ratio = A : B = 1 : 3

Explanation:

Solution :

★ Old Ratio :

A : B = 7 : 5

• A's Share = 7/12
• B's Share = 5/12

They admit C for 1/6 of share

★ New Ratio :

• A's New Share = 7/12 - 1/24

⇒ 14 - 1/24

⇒ 13/24

•B's New Share = 5/12 - 1/8

⇒ 10 - 3/24

⇒ 7/24

• C's Share = 1/6

⇒ 4/24

New Ratio =

• A : B : C
• 13/24 : 7/24 : 4/24

⇒ 13 : 7 : 4

★ Sacrificing Ratio :

Sacrificing Ratio = Old Ratio - New Ratio

• A = 7/12 - 13/24

⇒ 14 - 13/24 = 1/24

⇒ A = 1/24

• B = 5/12 - 7/24

⇒ 10 - 7/24 = 3/24

⇒ B = 3/24

• A : B
• 1/24 : 3/24

⇒ 1 : 3

Therefore, New Ratio = A : B : C = 13 : 7 : 4

Sacrificing Ratio = A : B = 1 : 3