A B C and D are partners in a firm sharing profits and losses equally they decided to share the profits in the ratio of 5 :4 : 3 :2 in future. you are required to calculate sacrificing ratio and gaining ratio.
Answers
Answer:
2 : 5 : 8
Old ratio (A, B C and D) = 5 : 4 : 3 : 2
New ratio (B, C, and D) = 1 : 1 : 1
Gaining ratio = New ratio - Old ratio
B's gain = (1/3) - (4/14) = 2/14
C's gain = (1/3) - (3/14) = 5/14
D's gain = (1/3) - (2/14) = 8/14
Explanation:
Solution :
★ Old Ratio :
A : B : C : D = 1 : 1 : 1 : 1
- A's Share = 1/4
- B's Share = 1/4
- C's Share = 1/4
- D's Share = 1/4
They decided to share the profits in the ratio of 5 : 4 : 3 : 2 in future.
★ New Ratio :
A : B : C : D = 5 : 4 : 3 : 2
- A's new share = 5/14
- B's new share = 4/14
- C's new share = 3/14
- D's new share = 2/14
★ Sacrificing Ratio Or Gaining Ratio :
Sacrificing Ratio Or Gaining Ratio = Old Ratio - New Ratio
•A =
⇒ 1/4 - 5/14 = (7-10)/28 =(-3)/28 ----- (Gain)
• B =
⇒ 1/4 - 4/14 = (7-8)/28 = (-1)/28 ---- (Gain)
• C =
⇒ 1/4 - 3/14 = (7-6)/28 = 1/28 --- (Sacrifice)
• D =
⇒ 1/4 - 2/14 = (7-4)/28 = 3/28 ----- (Sacrifice)
Therefore,
A(Gain) = (3)/28
B(Gain) = (1)/28
C(Sacrifice) = 1/28
D(Sacrifice) = 3/28