A and B are partners in a business sharing profits in the ratio of $4 : 5$ . They admit C into their business and they decided to share the profit in the ratio of $2 : 3 : 1.$ To accommodate C , by what ratio do A and B have to give up the share of profits ?

3 : 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 : 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 : 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $2 : 1$
Take LCM of sum of d ratios and consider it as the total amount (of course the total amount will be the multiple of sum of ratio, but then this way you get your answer faster)
Here, the sum of the individual ratios are 9(4+5) and 6(2+3+1)
LCM of 9 and 6 = 54. (You can LCM or multiply numbers for fast result. If you take LCM it would give 18).
So, considering 54 as the total amount,
I st case, A's share was 24 abd B's share was 30
2 nd case A's share = 18
B's share = 27
C's share = 9
Thus, A's share reduces by 24 - 18 = 6
B's share reduces to 30 - 27 = 3
Ratio = 6:3 = 2:1

Suggest Corrections

Similar questions

Q. A and B are partners sharing profits in the ratio of

1 : 2

. They admit C for

1 / 5

th share and decide to share future profits equally. The new profit sharing ratio will be _______.

Q. A and B are partners sharing profits in the ratio 5 : 3. They admitted C giving him 3/10th share of profit. If C acquires

1 / 5^{t h}

share from A and

1 / 10^{t h}

from B, new profit sharing ratio will be:

Q. Find New Profit-sharing Ratio:
(i) R and T are partners in a firm sharing profits in the ratio of 3 : 2. S joins the firm. R surrenders 1/4th of his share and T 1/5th of his share in favour of S.
(ii) A and B are partners. They admit C for 1/4th share. In future, the ratio between A and B would be 2 : 1.
(iii) A and B are partners sharing profits and losses in the ratio of 3 : 2. They admit C for 1/5th share in the profit. C acquires 1/5th of his share from A and 4/5th share from B.
(iv) X, Y and Z are partners in the ratio of 3 : 2 : 1. W joins the firm as a new partner for 1/6th share in profits. Z would retain his original share.
(v) A and B are equal partners. They admit C and D as partners with 1/5th and 1/6th share respectively.
(vi) A and B are partners sharing profits/losses in the ratio of 3 : 2 . C is admitted for 1/4th share. A and B decide to share equally in future.

Q. A and B are partners sharing profits in the ratio of 3:1. They admit C for 1/4 share in the future profits. The new profit sharing ratio will be:

A, B and C are partners sharing profits in 3:2:2 ratio. They admitted D as a new partner for 1/5 share which he acquired from A, B and C in 2:2:1 ratio respectively. Calculate new profit sharing ratio?

Join BYJU'S Learning Program

A and B are partners in a business sharing profits in the ratio of 4:5. They admit C into their business and they decided to share the profit in the ratio of 2:3:1. To accommodate C , by what ratio do A and B have to give up the share of profits ?

A and B are partners in a business sharing profits in the ratio of $4 : 5$ . They admit C into their business and they decided to share the profit in the ratio of $2 : 3 : 1.$ To accommodate C , by what ratio do A and B have to give up the share of profits ?