harish ragav (student-IPCC) (407 Points)
18 April 2014x y z are partners profit sharing ratio 1/2, 1/3, 1/6, respectively.. y retired on 31st mar 20x6.. goodwill of the firm valued rs 9000 and not shown in the books of the firm. after y's retirement x nd z are agreed to share the future profits in the ratio of 3:2..
calculate
1,gaining ratio
2, y share of goodwill
3, in what proportion(amount) x and z will distribute y share of goodwill.
pls explain.....
Jag Bhushan Sharma
(Faculty in a B-School)
(633 Points)
Replied 22 April 2014
Profit sharing ratio of x, y and z is = 3:2:1 and y's share in goodwill is 9000 x 1/3 = 3000
Gaining ratio: x = 3/5 - 2/6 = 3/30
z = 2/5 - 1/6 = 7/30
So, gaining ration of x and z is 3:7
so x and z should pay to y on account of his share of goodwill:
x = 3000 x 3/10 = 900
z = 3000 x 7/10 = 2100
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harish ragav
(student-IPCC)
(407 Points)
Replied 22 April 2014
sir gainig ratio is 3/30 and 7/30....
how come u took 3:7??
pls explain
Jag Bhushan Sharma
(Faculty in a B-School)
(633 Points)
Replied 22 April 2014
Since the denominator is same in both the quaantities, hence their numerators can be compared.
harish ragav
(student-IPCC)
(407 Points)
Replied 22 April 2014
sir im still confused how you take 3/10 and 7/10?
where the 10 come from?
pls explain sir..
harish ragav
(student-IPCC)
(407 Points)
Replied 22 April 2014
got the answer...
(old ratio 3/6, 2/6 , 1/6 for x y z respctvly)
x and z shares the 2/6( (y's share) in the ratio of 3/30 and 7/30
therefore... divide the gaining ratio by 2/6.
by doing so .....for x= 3/30 / 2/6 or 3/30 * 6/2 we get 3/10
for z= 7/30 / 2/6 or 7/30 * 6/2 we get 7/10...
So, gaining ratio of x and z is 3:7 so x and z should pay to y on account of his share of goodwill: x = 3000 x 3/10 = 900 z = 3000 x 7/10 = 2100
Jag Bhushan Sharma
(Faculty in a B-School)
(633 Points)
Replied 22 April 2014
Dear Harish, let me clear you the logic. Y's share in the firm is 2/6 or 1/3. As explained above gaining ratio comes to 3/30 : 7/30. If you divide 3/30 by 7/30 you will get 3:7. Pl. don't mid it will be of great help to you if you just refer to the chapter on ratios (class IX Mathematics).
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